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Finding the Fourth Proportional to 694.35, 957.90 and 431.91

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Solution

The fourth proportional to 694.35, 957.90 and 431.91 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 957.90 = 431.91 : x
  2. Step 2: Convert to fraction form
    694.35/957.90 = 431.91/x
  3. Step 3: Cross multiply
    694.35x = 957.90 × 431.91
  4. Step 4: Simplify right side
    694.35x = 413,726.59
  5. Step 5: Solve for x
    x = 413,726.59/694.35
  6. Step 6: Final answer
    x = 595.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.