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Finding the Fourth Proportional to 823.86, 1,234.89 and 458.52

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Solution

The fourth proportional to 823.86, 1,234.89 and 458.52 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.86 : 1,234.89 = 458.52 : x
  2. Step 2: Convert to fraction form
    823.86/1,234.89 = 458.52/x
  3. Step 3: Cross multiply
    823.86x = 1,234.89 × 458.52
  4. Step 4: Simplify right side
    823.86x = 566,221.76
  5. Step 5: Solve for x
    x = 566,221.76/823.86
  6. Step 6: Final answer
    x = 687.28

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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.