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Finding the Fourth Proportional to 823.62, 1,234.50 and 458.22

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Solution

The fourth proportional to 823.62, 1,234.50 and 458.22 is: 686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.62 : 1,234.50 = 458.22 : x
  2. Step 2: Convert to fraction form
    823.62/1,234.50 = 458.22/x
  3. Step 3: Cross multiply
    823.62x = 1,234.50 × 458.22
  4. Step 4: Simplify right side
    823.62x = 565,672.59
  5. Step 5: Solve for x
    x = 565,672.59/823.62
  6. Step 6: Final answer
    x = 686.81

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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.