Home / 1,614.60-2,422.38-749.40

Finding the Fourth Proportional to 1,614.60, 2,422.38 and 749.40

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Solution

The fourth proportional to 1,614.60, 2,422.38 and 749.40 is: 1,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.60 : 2,422.38 = 749.40 : x
  2. Step 2: Convert to fraction form
    1,614.60/2,422.38 = 749.40/x
  3. Step 3: Cross multiply
    1,614.60x = 2,422.38 × 749.40
  4. Step 4: Simplify right side
    1,614.60x = 1,815,331.57
  5. Step 5: Solve for x
    x = 1,815,331.57/1,614.60
  6. Step 6: Final answer
    x = 1,124.32

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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.