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Finding the Fourth Proportional to 1,758.28, 2,635.24 and 661.72

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Solution

The fourth proportional to 1,758.28, 2,635.24 and 661.72 is: 991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.28 : 2,635.24 = 661.72 : x
  2. Step 2: Convert to fraction form
    1,758.28/2,635.24 = 661.72/x
  3. Step 3: Cross multiply
    1,758.28x = 2,635.24 × 661.72
  4. Step 4: Simplify right side
    1,758.28x = 1,743,791.01
  5. Step 5: Solve for x
    x = 1,743,791.01/1,758.28
  6. Step 6: Final answer
    x = 991.76

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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.