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Finding the Fourth Proportional to 731.08, 1,010.46 and 616.60

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Solution

The fourth proportional to 731.08, 1,010.46 and 616.60 is: 852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.08 : 1,010.46 = 616.60 : x
  2. Step 2: Convert to fraction form
    731.08/1,010.46 = 616.60/x
  3. Step 3: Cross multiply
    731.08x = 1,010.46 × 616.60
  4. Step 4: Simplify right side
    731.08x = 623,049.64
  5. Step 5: Solve for x
    x = 623,049.64/731.08
  6. Step 6: Final answer
    x = 852.23

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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.