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Finding the Fourth Proportional to 552.10, 834.40 and 542.53

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Solution

The fourth proportional to 552.10, 834.40 and 542.53 is: 819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 834.40 = 542.53 : x
  2. Step 2: Convert to fraction form
    552.10/834.40 = 542.53/x
  3. Step 3: Cross multiply
    552.10x = 834.40 × 542.53
  4. Step 4: Simplify right side
    552.10x = 452,687.03
  5. Step 5: Solve for x
    x = 452,687.03/552.10
  6. Step 6: Final answer
    x = 819.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.