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Finding the Fourth Proportional to 1,452.72, 2,178.48 and 575.04

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Solution

The fourth proportional to 1,452.72, 2,178.48 and 575.04 is: 862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.72 : 2,178.48 = 575.04 : x
  2. Step 2: Convert to fraction form
    1,452.72/2,178.48 = 575.04/x
  3. Step 3: Cross multiply
    1,452.72x = 2,178.48 × 575.04
  4. Step 4: Simplify right side
    1,452.72x = 1,252,713.14
  5. Step 5: Solve for x
    x = 1,252,713.14/1,452.72
  6. Step 6: Final answer
    x = 862.32

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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.