Home / 1,441.28-1,988.85-811.61

Finding the Fourth Proportional to 1,441.28, 1,988.85 and 811.61

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Solution

The fourth proportional to 1,441.28, 1,988.85 and 811.61 is: 1,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.28 : 1,988.85 = 811.61 : x
  2. Step 2: Convert to fraction form
    1,441.28/1,988.85 = 811.61/x
  3. Step 3: Cross multiply
    1,441.28x = 1,988.85 × 811.61
  4. Step 4: Simplify right side
    1,441.28x = 1,614,170.55
  5. Step 5: Solve for x
    x = 1,614,170.55/1,441.28
  6. Step 6: Final answer
    x = 1,119.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.