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Finding the Fourth Proportional to 838.97, 1,257.65 and 531.17

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Solution

The fourth proportional to 838.97, 1,257.65 and 531.17 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.97 : 1,257.65 = 531.17 : x
  2. Step 2: Convert to fraction form
    838.97/1,257.65 = 531.17/x
  3. Step 3: Cross multiply
    838.97x = 1,257.65 × 531.17
  4. Step 4: Simplify right side
    838.97x = 668,028.43
  5. Step 5: Solve for x
    x = 668,028.43/838.97
  6. Step 6: Final answer
    x = 796.25

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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.