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Finding the Fourth Proportional to 747.78, 1,031.69 and 499.26

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Solution

The fourth proportional to 747.78, 1,031.69 and 499.26 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.78 : 1,031.69 = 499.26 : x
  2. Step 2: Convert to fraction form
    747.78/1,031.69 = 499.26/x
  3. Step 3: Cross multiply
    747.78x = 1,031.69 × 499.26
  4. Step 4: Simplify right side
    747.78x = 515,083.86
  5. Step 5: Solve for x
    x = 515,083.86/747.78
  6. Step 6: Final answer
    x = 688.82

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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.