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Finding the Fourth Proportional to 679.71, 938.25 and 431.04

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Solution

The fourth proportional to 679.71, 938.25 and 431.04 is: 594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.71 : 938.25 = 431.04 : x
  2. Step 2: Convert to fraction form
    679.71/938.25 = 431.04/x
  3. Step 3: Cross multiply
    679.71x = 938.25 × 431.04
  4. Step 4: Simplify right side
    679.71x = 404,423.28
  5. Step 5: Solve for x
    x = 404,423.28/679.71
  6. Step 6: Final answer
    x = 594.99

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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.