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Finding the Fourth Proportional to 691.97, 1,038.30 and 431.91

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Solution

The fourth proportional to 691.97, 1,038.30 and 431.91 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.97 : 1,038.30 = 431.91 : x
  2. Step 2: Convert to fraction form
    691.97/1,038.30 = 431.91/x
  3. Step 3: Cross multiply
    691.97x = 1,038.30 × 431.91
  4. Step 4: Simplify right side
    691.97x = 448,452.15
  5. Step 5: Solve for x
    x = 448,452.15/691.97
  6. Step 6: Final answer
    x = 648.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.