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Finding the Fourth Proportional to 691.54, 1,042.39 and 681.82

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Solution

The fourth proportional to 691.54, 1,042.39 and 681.82 is: 1,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 1,042.39 = 681.82 : x
  2. Step 2: Convert to fraction form
    691.54/1,042.39 = 681.82/x
  3. Step 3: Cross multiply
    691.54x = 1,042.39 × 681.82
  4. Step 4: Simplify right side
    691.54x = 710,722.35
  5. Step 5: Solve for x
    x = 710,722.35/691.54
  6. Step 6: Final answer
    x = 1,027.74

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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.