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Finding the Fourth Proportional to 962.30, 1,328.28 and 630.20

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Solution

The fourth proportional to 962.30, 1,328.28 and 630.20 is: 869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,328.28 = 630.20 : x
  2. Step 2: Convert to fraction form
    962.30/1,328.28 = 630.20/x
  3. Step 3: Cross multiply
    962.30x = 1,328.28 × 630.20
  4. Step 4: Simplify right side
    962.30x = 837,082.06
  5. Step 5: Solve for x
    x = 837,082.06/962.30
  6. Step 6: Final answer
    x = 869.88

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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.