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Finding the Fourth Proportional to 838.43, 1,257.78 and 580.13

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Solution

The fourth proportional to 838.43, 1,257.78 and 580.13 is: 870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.43 : 1,257.78 = 580.13 : x
  2. Step 2: Convert to fraction form
    838.43/1,257.78 = 580.13/x
  3. Step 3: Cross multiply
    838.43x = 1,257.78 × 580.13
  4. Step 4: Simplify right side
    838.43x = 729,675.91
  5. Step 5: Solve for x
    x = 729,675.91/838.43
  6. Step 6: Final answer
    x = 870.29

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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.