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Finding the Fourth Proportional to 1,255.38, 1,881.81 and 433.50

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Solution

The fourth proportional to 1,255.38, 1,881.81 and 433.50 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.38 : 1,881.81 = 433.50 : x
  2. Step 2: Convert to fraction form
    1,255.38/1,881.81 = 433.50/x
  3. Step 3: Cross multiply
    1,255.38x = 1,881.81 × 433.50
  4. Step 4: Simplify right side
    1,255.38x = 815,764.64
  5. Step 5: Solve for x
    x = 815,764.64/1,255.38
  6. Step 6: Final answer
    x = 649.81

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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.