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Finding the Fourth Proportional to 542.72, 813.60 and 462.08

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Solution

The fourth proportional to 542.72, 813.60 and 462.08 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 813.60 = 462.08 : x
  2. Step 2: Convert to fraction form
    542.72/813.60 = 462.08/x
  3. Step 3: Cross multiply
    542.72x = 813.60 × 462.08
  4. Step 4: Simplify right side
    542.72x = 375,948.29
  5. Step 5: Solve for x
    x = 375,948.29/542.72
  6. Step 6: Final answer
    x = 692.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.