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Finding the Fourth Proportional to 542.78, 813.95 and 428.57

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Solution

The fourth proportional to 542.78, 813.95 and 428.57 is: 642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 813.95 = 428.57 : x
  2. Step 2: Convert to fraction form
    542.78/813.95 = 428.57/x
  3. Step 3: Cross multiply
    542.78x = 813.95 × 428.57
  4. Step 4: Simplify right side
    542.78x = 348,834.55
  5. Step 5: Solve for x
    x = 348,834.55/542.78
  6. Step 6: Final answer
    x = 642.68

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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.