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Finding the Fourth Proportional to 834.35, 1,248.90 and 572.82

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Solution

The fourth proportional to 834.35, 1,248.90 and 572.82 is: 857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,248.90 = 572.82 : x
  2. Step 2: Convert to fraction form
    834.35/1,248.90 = 572.82/x
  3. Step 3: Cross multiply
    834.35x = 1,248.90 × 572.82
  4. Step 4: Simplify right side
    834.35x = 715,394.90
  5. Step 5: Solve for x
    x = 715,394.90/834.35
  6. Step 6: Final answer
    x = 857.43

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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.