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Finding the Fourth Proportional to 834.86, 1,252.38 and 257.78

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Solution

The fourth proportional to 834.86, 1,252.38 and 257.78 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.86 : 1,252.38 = 257.78 : x
  2. Step 2: Convert to fraction form
    834.86/1,252.38 = 257.78/x
  3. Step 3: Cross multiply
    834.86x = 1,252.38 × 257.78
  4. Step 4: Simplify right side
    834.86x = 322,838.52
  5. Step 5: Solve for x
    x = 322,838.52/834.86
  6. Step 6: Final answer
    x = 386.70

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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.