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Finding the Fourth Proportional to 918.76, 1,266.40 and 806.44

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Solution

The fourth proportional to 918.76, 1,266.40 and 806.44 is: 1,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,266.40 = 806.44 : x
  2. Step 2: Convert to fraction form
    918.76/1,266.40 = 806.44/x
  3. Step 3: Cross multiply
    918.76x = 1,266.40 × 806.44
  4. Step 4: Simplify right side
    918.76x = 1,021,275.62
  5. Step 5: Solve for x
    x = 1,021,275.62/918.76
  6. Step 6: Final answer
    x = 1,111.58

Related Problems

Find fourth proportional to 459.38, 633.20 and 403.22
Half scale
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Double scale
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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.