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Finding the Fourth Proportional to 1,255.35, 1,882.89 and 639.45

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Solution

The fourth proportional to 1,255.35, 1,882.89 and 639.45 is: 959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.35 : 1,882.89 = 639.45 : x
  2. Step 2: Convert to fraction form
    1,255.35/1,882.89 = 639.45/x
  3. Step 3: Cross multiply
    1,255.35x = 1,882.89 × 639.45
  4. Step 4: Simplify right side
    1,255.35x = 1,204,014.01
  5. Step 5: Solve for x
    x = 1,204,014.01/1,255.35
  6. Step 6: Final answer
    x = 959.11

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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.