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Finding the Fourth Proportional to 747.64, 1,031.16 and 655.30

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Solution

The fourth proportional to 747.64, 1,031.16 and 655.30 is: 903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.64 : 1,031.16 = 655.30 : x
  2. Step 2: Convert to fraction form
    747.64/1,031.16 = 655.30/x
  3. Step 3: Cross multiply
    747.64x = 1,031.16 × 655.30
  4. Step 4: Simplify right side
    747.64x = 675,719.15
  5. Step 5: Solve for x
    x = 675,719.15/747.64
  6. Step 6: Final answer
    x = 903.80

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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.