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Finding the Fourth Proportional to 731.06, 1,007.34 and 497.78

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Solution

The fourth proportional to 731.06, 1,007.34 and 497.78 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.06 : 1,007.34 = 497.78 : x
  2. Step 2: Convert to fraction form
    731.06/1,007.34 = 497.78/x
  3. Step 3: Cross multiply
    731.06x = 1,007.34 × 497.78
  4. Step 4: Simplify right side
    731.06x = 501,433.71
  5. Step 5: Solve for x
    x = 501,433.71/731.06
  6. Step 6: Final answer
    x = 685.90

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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.