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Finding the Fourth Proportional to 823.90, 1,234.90 and 457.96

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Solution

The fourth proportional to 823.90, 1,234.90 and 457.96 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.90 : 1,234.90 = 457.96 : x
  2. Step 2: Convert to fraction form
    823.90/1,234.90 = 457.96/x
  3. Step 3: Cross multiply
    823.90x = 1,234.90 × 457.96
  4. Step 4: Simplify right side
    823.90x = 565,534.80
  5. Step 5: Solve for x
    x = 565,534.80/823.90
  6. Step 6: Final answer
    x = 686.41

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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.