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Finding the Fourth Proportional to 508.70, 762.36 and 458.12

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Solution

The fourth proportional to 508.70, 762.36 and 458.12 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.70 : 762.36 = 458.12 : x
  2. Step 2: Convert to fraction form
    508.70/762.36 = 458.12/x
  3. Step 3: Cross multiply
    508.70x = 762.36 × 458.12
  4. Step 4: Simplify right side
    508.70x = 349,252.36
  5. Step 5: Solve for x
    x = 349,252.36/508.70
  6. Step 6: Final answer
    x = 686.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.