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Finding the Fourth Proportional to 1,452.61, 2,178.19 and 478.38

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Solution

The fourth proportional to 1,452.61, 2,178.19 and 478.38 is: 717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.61 : 2,178.19 = 478.38 : x
  2. Step 2: Convert to fraction form
    1,452.61/2,178.19 = 478.38/x
  3. Step 3: Cross multiply
    1,452.61x = 2,178.19 × 478.38
  4. Step 4: Simplify right side
    1,452.61x = 1,042,002.53
  5. Step 5: Solve for x
    x = 1,042,002.53/1,452.61
  6. Step 6: Final answer
    x = 717.33

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Why These Related Problems?

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