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Finding the Fourth Proportional to 542.32, 814.30 and 532.60

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Solution

The fourth proportional to 542.32, 814.30 and 532.60 is: 799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 814.30 = 532.60 : x
  2. Step 2: Convert to fraction form
    542.32/814.30 = 532.60/x
  3. Step 3: Cross multiply
    542.32x = 814.30 × 532.60
  4. Step 4: Simplify right side
    542.32x = 433,692.81
  5. Step 5: Solve for x
    x = 433,692.81/542.32
  6. Step 6: Final answer
    x = 799.70

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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.