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Finding the Fourth Proportional to 886.14, 1,222.80 and 493.13

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Solution

The fourth proportional to 886.14, 1,222.80 and 493.13 is: 680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,222.80 = 493.13 : x
  2. Step 2: Convert to fraction form
    886.14/1,222.80 = 493.13/x
  3. Step 3: Cross multiply
    886.14x = 1,222.80 × 493.13
  4. Step 4: Simplify right side
    886.14x = 602,993.25
  5. Step 5: Solve for x
    x = 602,993.25/886.14
  6. Step 6: Final answer
    x = 680.47

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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.