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Finding the Fourth Proportional to 693.24, 1,044.97 and 634.82

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Solution

The fourth proportional to 693.24, 1,044.97 and 634.82 is: 956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.24 : 1,044.97 = 634.82 : x
  2. Step 2: Convert to fraction form
    693.24/1,044.97 = 634.82/x
  3. Step 3: Cross multiply
    693.24x = 1,044.97 × 634.82
  4. Step 4: Simplify right side
    693.24x = 663,367.86
  5. Step 5: Solve for x
    x = 663,367.86/693.24
  6. Step 6: Final answer
    x = 956.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.