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Finding the Fourth Proportional to 1,078.74, 1,614.60 and 1,040.58

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Solution

The fourth proportional to 1,078.74, 1,614.60 and 1,040.58 is: 1,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.74 : 1,614.60 = 1,040.58 : x
  2. Step 2: Convert to fraction form
    1,078.74/1,614.60 = 1,040.58/x
  3. Step 3: Cross multiply
    1,078.74x = 1,614.60 × 1,040.58
  4. Step 4: Simplify right side
    1,078.74x = 1,680,120.47
  5. Step 5: Solve for x
    x = 1,680,120.47/1,078.74
  6. Step 6: Final answer
    x = 1,557.48

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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.