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Finding the Fourth Proportional to 679.50, 938.06 and 431.08

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Solution

The fourth proportional to 679.50, 938.06 and 431.08 is: 595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.50 : 938.06 = 431.08 : x
  2. Step 2: Convert to fraction form
    679.50/938.06 = 431.08/x
  3. Step 3: Cross multiply
    679.50x = 938.06 × 431.08
  4. Step 4: Simplify right side
    679.50x = 404,378.90
  5. Step 5: Solve for x
    x = 404,378.90/679.50
  6. Step 6: Final answer
    x = 595.11

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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.