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Finding the Fourth Proportional to 431.26, 591.20 and 424.85

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Solution

The fourth proportional to 431.26, 591.20 and 424.85 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.26 : 591.20 = 424.85 : x
  2. Step 2: Convert to fraction form
    431.26/591.20 = 424.85/x
  3. Step 3: Cross multiply
    431.26x = 591.20 × 424.85
  4. Step 4: Simplify right side
    431.26x = 251,167.83
  5. Step 5: Solve for x
    x = 251,167.83/431.26
  6. Step 6: Final answer
    x = 582.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.