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Finding the Fourth Proportional to 1,255.80, 1,882.49 and 433.45

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Solution

The fourth proportional to 1,255.80, 1,882.49 and 433.45 is: 649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.80 : 1,882.49 = 433.45 : x
  2. Step 2: Convert to fraction form
    1,255.80/1,882.49 = 433.45/x
  3. Step 3: Cross multiply
    1,255.80x = 1,882.49 × 433.45
  4. Step 4: Simplify right side
    1,255.80x = 815,967.91
  5. Step 5: Solve for x
    x = 815,967.91/1,255.80
  6. Step 6: Final answer
    x = 649.76

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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.