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Finding the Fourth Proportional to 1,760.08, 2,640.72 and 664.76

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Solution

The fourth proportional to 1,760.08, 2,640.72 and 664.76 is: 997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.08 : 2,640.72 = 664.76 : x
  2. Step 2: Convert to fraction form
    1,760.08/2,640.72 = 664.76/x
  3. Step 3: Cross multiply
    1,760.08x = 2,640.72 × 664.76
  4. Step 4: Simplify right side
    1,760.08x = 1,755,431.82
  5. Step 5: Solve for x
    x = 1,755,431.82/1,760.08
  6. Step 6: Final answer
    x = 997.36

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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.