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Finding the Fourth Proportional to 478, 715.92 and 381.52

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Solution

The fourth proportional to 478, 715.92 and 381.52 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 715.92 = 381.52 : x
  2. Step 2: Convert to fraction form
    478/715.92 = 381.52/x
  3. Step 3: Cross multiply
    478x = 715.92 × 381.52
  4. Step 4: Simplify right side
    478x = 273,137.80
  5. Step 5: Solve for x
    x = 273,137.80/478
  6. Step 6: Final answer
    x = 571.42

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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.