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Finding the Fourth Proportional to 589.25, 813.47 and 414.90

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Solution

The fourth proportional to 589.25, 813.47 and 414.90 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.25 : 813.47 = 414.90 : x
  2. Step 2: Convert to fraction form
    589.25/813.47 = 414.90/x
  3. Step 3: Cross multiply
    589.25x = 813.47 × 414.90
  4. Step 4: Simplify right side
    589.25x = 337,508.70
  5. Step 5: Solve for x
    x = 337,508.70/589.25
  6. Step 6: Final answer
    x = 572.78

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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.