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Finding the Fourth Proportional to 702.24, 1,044.43 and 688.42

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Solution

The fourth proportional to 702.24, 1,044.43 and 688.42 is: 1,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 1,044.43 = 688.42 : x
  2. Step 2: Convert to fraction form
    702.24/1,044.43 = 688.42/x
  3. Step 3: Cross multiply
    702.24x = 1,044.43 × 688.42
  4. Step 4: Simplify right side
    702.24x = 719,006.50
  5. Step 5: Solve for x
    x = 719,006.50/702.24
  6. Step 6: Final answer
    x = 1,023.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.