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Finding the Fourth Proportional to 838.35, 1,257.17 and 260.91

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Solution

The fourth proportional to 838.35, 1,257.17 and 260.91 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.35 : 1,257.17 = 260.91 : x
  2. Step 2: Convert to fraction form
    838.35/1,257.17 = 260.91/x
  3. Step 3: Cross multiply
    838.35x = 1,257.17 × 260.91
  4. Step 4: Simplify right side
    838.35x = 328,006.92
  5. Step 5: Solve for x
    x = 328,006.92/838.35
  6. Step 6: Final answer
    x = 391.25

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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.