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Finding the Fourth Proportional to 823.58, 1,234.28 and 614.42

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Solution

The fourth proportional to 823.58, 1,234.28 and 614.42 is: 920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.58 : 1,234.28 = 614.42 : x
  2. Step 2: Convert to fraction form
    823.58/1,234.28 = 614.42/x
  3. Step 3: Cross multiply
    823.58x = 1,234.28 × 614.42
  4. Step 4: Simplify right side
    823.58x = 758,366.32
  5. Step 5: Solve for x
    x = 758,366.32/823.58
  6. Step 6: Final answer
    x = 920.82

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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.