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Finding the Fourth Proportional to 1,100.46, 1,659.01 and 1,040.92

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Solution

The fourth proportional to 1,100.46, 1,659.01 and 1,040.92 is: 1,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.46 : 1,659.01 = 1,040.92 : x
  2. Step 2: Convert to fraction form
    1,100.46/1,659.01 = 1,040.92/x
  3. Step 3: Cross multiply
    1,100.46x = 1,659.01 × 1,040.92
  4. Step 4: Simplify right side
    1,100.46x = 1,726,896.69
  5. Step 5: Solve for x
    x = 1,726,896.69/1,100.46
  6. Step 6: Final answer
    x = 1,569.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.