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Finding the Fourth Proportional to 1,254.72, 1,882.24 and 433.14

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Solution

The fourth proportional to 1,254.72, 1,882.24 and 433.14 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.72 : 1,882.24 = 433.14 : x
  2. Step 2: Convert to fraction form
    1,254.72/1,882.24 = 433.14/x
  3. Step 3: Cross multiply
    1,254.72x = 1,882.24 × 433.14
  4. Step 4: Simplify right side
    1,254.72x = 815,273.43
  5. Step 5: Solve for x
    x = 815,273.43/1,254.72
  6. Step 6: Final answer
    x = 649.77

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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.