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Finding the Fourth Proportional to 1,514.22, 2,089.56 and 884.76

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Solution

The fourth proportional to 1,514.22, 2,089.56 and 884.76 is: 1,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.22 : 2,089.56 = 884.76 : x
  2. Step 2: Convert to fraction form
    1,514.22/2,089.56 = 884.76/x
  3. Step 3: Cross multiply
    1,514.22x = 2,089.56 × 884.76
  4. Step 4: Simplify right side
    1,514.22x = 1,848,759.11
  5. Step 5: Solve for x
    x = 1,848,759.11/1,514.22
  6. Step 6: Final answer
    x = 1,220.93

Related Problems

Find fourth proportional to 757.11, 1,044.78 and 442.38
Half scale
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Double scale
Find fourth proportional to 1,515.22, 2,090.94 and 885.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.