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Finding the Fourth Proportional to 962.16, 1,326.72 and 630.72

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Solution

The fourth proportional to 962.16, 1,326.72 and 630.72 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.16 : 1,326.72 = 630.72 : x
  2. Step 2: Convert to fraction form
    962.16/1,326.72 = 630.72/x
  3. Step 3: Cross multiply
    962.16x = 1,326.72 × 630.72
  4. Step 4: Simplify right side
    962.16x = 836,788.84
  5. Step 5: Solve for x
    x = 836,788.84/962.16
  6. Step 6: Final answer
    x = 869.70

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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.