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Finding the Fourth Proportional to 542.30, 743.49 and 532.45

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Solution

The fourth proportional to 542.30, 743.49 and 532.45 is: 729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 743.49 = 532.45 : x
  2. Step 2: Convert to fraction form
    542.30/743.49 = 532.45/x
  3. Step 3: Cross multiply
    542.30x = 743.49 × 532.45
  4. Step 4: Simplify right side
    542.30x = 395,870.84
  5. Step 5: Solve for x
    x = 395,870.84/542.30
  6. Step 6: Final answer
    x = 729.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.