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Finding the Fourth Proportional to 424.73, 586.17 and 391.25

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Solution

The fourth proportional to 424.73, 586.17 and 391.25 is: 539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.73 : 586.17 = 391.25 : x
  2. Step 2: Convert to fraction form
    424.73/586.17 = 391.25/x
  3. Step 3: Cross multiply
    424.73x = 586.17 × 391.25
  4. Step 4: Simplify right side
    424.73x = 229,339.01
  5. Step 5: Solve for x
    x = 229,339.01/424.73
  6. Step 6: Final answer
    x = 539.96

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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.