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Finding the Fourth Proportional to 824.50, 1,234.90 and 458.47

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Solution

The fourth proportional to 824.50, 1,234.90 and 458.47 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.50 : 1,234.90 = 458.47 : x
  2. Step 2: Convert to fraction form
    824.50/1,234.90 = 458.47/x
  3. Step 3: Cross multiply
    824.50x = 1,234.90 × 458.47
  4. Step 4: Simplify right side
    824.50x = 566,164.60
  5. Step 5: Solve for x
    x = 566,164.60/824.50
  6. Step 6: Final answer
    x = 686.68

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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.