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Finding the Fourth Proportional to 747.28, 1,030.08 and 616.08

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Solution

The fourth proportional to 747.28, 1,030.08 and 616.08 is: 849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.28 : 1,030.08 = 616.08 : x
  2. Step 2: Convert to fraction form
    747.28/1,030.08 = 616.08/x
  3. Step 3: Cross multiply
    747.28x = 1,030.08 × 616.08
  4. Step 4: Simplify right side
    747.28x = 634,611.69
  5. Step 5: Solve for x
    x = 634,611.69/747.28
  6. Step 6: Final answer
    x = 849.23

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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.