Home / 1,565.28-2,346.15-742.41

Finding the Fourth Proportional to 1,565.28, 2,346.15 and 742.41

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Solution

The fourth proportional to 1,565.28, 2,346.15 and 742.41 is: 1,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.28 : 2,346.15 = 742.41 : x
  2. Step 2: Convert to fraction form
    1,565.28/2,346.15 = 742.41/x
  3. Step 3: Cross multiply
    1,565.28x = 2,346.15 × 742.41
  4. Step 4: Simplify right side
    1,565.28x = 1,741,805.22
  5. Step 5: Solve for x
    x = 1,741,805.22/1,565.28
  6. Step 6: Final answer
    x = 1,112.78

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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.