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Finding the Fourth Proportional to 542.19, 749.96 and 500.88

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Solution

The fourth proportional to 542.19, 749.96 and 500.88 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.19 : 749.96 = 500.88 : x
  2. Step 2: Convert to fraction form
    542.19/749.96 = 500.88/x
  3. Step 3: Cross multiply
    542.19x = 749.96 × 500.88
  4. Step 4: Simplify right side
    542.19x = 375,642.15
  5. Step 5: Solve for x
    x = 375,642.15/542.19
  6. Step 6: Final answer
    x = 692.82

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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.