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Finding the Fourth Proportional to 691.83, 1,037.34 and 417.78

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Solution

The fourth proportional to 691.83, 1,037.34 and 417.78 is: 626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.83 : 1,037.34 = 417.78 : x
  2. Step 2: Convert to fraction form
    691.83/1,037.34 = 417.78/x
  3. Step 3: Cross multiply
    691.83x = 1,037.34 × 417.78
  4. Step 4: Simplify right side
    691.83x = 433,379.91
  5. Step 5: Solve for x
    x = 433,379.91/691.83
  6. Step 6: Final answer
    x = 626.43

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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.