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Finding the Fourth Proportional to 840.23, 1,257.92 and 514.61

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Solution

The fourth proportional to 840.23, 1,257.92 and 514.61 is: 770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.23 : 1,257.92 = 514.61 : x
  2. Step 2: Convert to fraction form
    840.23/1,257.92 = 514.61/x
  3. Step 3: Cross multiply
    840.23x = 1,257.92 × 514.61
  4. Step 4: Simplify right side
    840.23x = 647,335.64
  5. Step 5: Solve for x
    x = 647,335.64/840.23
  6. Step 6: Final answer
    x = 770.43

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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.