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Finding the Fourth Proportional to 924.72, 1,276.14 and 630.12

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Solution

The fourth proportional to 924.72, 1,276.14 and 630.12 is: 869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,276.14 = 630.12 : x
  2. Step 2: Convert to fraction form
    924.72/1,276.14 = 630.12/x
  3. Step 3: Cross multiply
    924.72x = 1,276.14 × 630.12
  4. Step 4: Simplify right side
    924.72x = 804,121.34
  5. Step 5: Solve for x
    x = 804,121.34/924.72
  6. Step 6: Final answer
    x = 869.58

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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.