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Finding the Fourth Proportional to 1,755, 2,631.24 and 659.28

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Solution

The fourth proportional to 1,755, 2,631.24 and 659.28 is: 988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755 : 2,631.24 = 659.28 : x
  2. Step 2: Convert to fraction form
    1,755/2,631.24 = 659.28/x
  3. Step 3: Cross multiply
    1,755x = 2,631.24 × 659.28
  4. Step 4: Simplify right side
    1,755x = 1,734,723.91
  5. Step 5: Solve for x
    x = 1,734,723.91/1,755
  6. Step 6: Final answer
    x = 988.45

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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.