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Finding the Fourth Proportional to 823.59, 1,234.28 and 686.90

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Solution

The fourth proportional to 823.59, 1,234.28 and 686.90 is: 1,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.59 : 1,234.28 = 686.90 : x
  2. Step 2: Convert to fraction form
    823.59/1,234.28 = 686.90/x
  3. Step 3: Cross multiply
    823.59x = 1,234.28 × 686.90
  4. Step 4: Simplify right side
    823.59x = 847,817.33
  5. Step 5: Solve for x
    x = 847,817.33/823.59
  6. Step 6: Final answer
    x = 1,029.42

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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.