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Finding the Fourth Proportional to 747.84, 1,031.12 and 663.74

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Solution

The fourth proportional to 747.84, 1,031.12 and 663.74 is: 915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.84 : 1,031.12 = 663.74 : x
  2. Step 2: Convert to fraction form
    747.84/1,031.12 = 663.74/x
  3. Step 3: Cross multiply
    747.84x = 1,031.12 × 663.74
  4. Step 4: Simplify right side
    747.84x = 684,395.59
  5. Step 5: Solve for x
    x = 684,395.59/747.84
  6. Step 6: Final answer
    x = 915.16

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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.