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Finding the Fourth Proportional to 962.24, 1,327.02 and 630.55

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Solution

The fourth proportional to 962.24, 1,327.02 and 630.55 is: 869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,327.02 = 630.55 : x
  2. Step 2: Convert to fraction form
    962.24/1,327.02 = 630.55/x
  3. Step 3: Cross multiply
    962.24x = 1,327.02 × 630.55
  4. Step 4: Simplify right side
    962.24x = 836,752.46
  5. Step 5: Solve for x
    x = 836,752.46/962.24
  6. Step 6: Final answer
    x = 869.59

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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.