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Finding the Fourth Proportional to 542.21, 746.37 and 524.43

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Solution

The fourth proportional to 542.21, 746.37 and 524.43 is: 721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.21 : 746.37 = 524.43 : x
  2. Step 2: Convert to fraction form
    542.21/746.37 = 524.43/x
  3. Step 3: Cross multiply
    542.21x = 746.37 × 524.43
  4. Step 4: Simplify right side
    542.21x = 391,418.82
  5. Step 5: Solve for x
    x = 391,418.82/542.21
  6. Step 6: Final answer
    x = 721.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.