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Finding the Fourth Proportional to 537.62, 809.17 and 458.33

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Solution

The fourth proportional to 537.62, 809.17 and 458.33 is: 689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.62 : 809.17 = 458.33 : x
  2. Step 2: Convert to fraction form
    537.62/809.17 = 458.33/x
  3. Step 3: Cross multiply
    537.62x = 809.17 × 458.33
  4. Step 4: Simplify right side
    537.62x = 370,861.69
  5. Step 5: Solve for x
    x = 370,861.69/537.62
  6. Step 6: Final answer
    x = 689.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.