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Finding the Fourth Proportional to 564.37, 773.20 and 542.50

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Solution

The fourth proportional to 564.37, 773.20 and 542.50 is: 743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.37 : 773.20 = 542.50 : x
  2. Step 2: Convert to fraction form
    564.37/773.20 = 542.50/x
  3. Step 3: Cross multiply
    564.37x = 773.20 × 542.50
  4. Step 4: Simplify right side
    564.37x = 419,456.69
  5. Step 5: Solve for x
    x = 419,456.69/564.37
  6. Step 6: Final answer
    x = 743.23

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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.