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Finding the Fourth Proportional to 542.39, 814.40 and 534.29

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Solution

The fourth proportional to 542.39, 814.40 and 534.29 is: 802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.39 : 814.40 = 534.29 : x
  2. Step 2: Convert to fraction form
    542.39/814.40 = 534.29/x
  3. Step 3: Cross multiply
    542.39x = 814.40 × 534.29
  4. Step 4: Simplify right side
    542.39x = 435,123.10
  5. Step 5: Solve for x
    x = 435,123.10/542.39
  6. Step 6: Final answer
    x = 802.23

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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.