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Finding the Fourth Proportional to 839.75, 1,257.46 and 580.55

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Solution

The fourth proportional to 839.75, 1,257.46 and 580.55 is: 869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.75 : 1,257.46 = 580.55 : x
  2. Step 2: Convert to fraction form
    839.75/1,257.46 = 580.55/x
  3. Step 3: Cross multiply
    839.75x = 1,257.46 × 580.55
  4. Step 4: Simplify right side
    839.75x = 730,010.66
  5. Step 5: Solve for x
    x = 730,010.66/839.75
  6. Step 6: Final answer
    x = 869.32

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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.