Home / 1,094.28-1,639.38-742.71

Finding the Fourth Proportional to 1,094.28, 1,639.38 and 742.71

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Solution

The fourth proportional to 1,094.28, 1,639.38 and 742.71 is: 1,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.28 : 1,639.38 = 742.71 : x
  2. Step 2: Convert to fraction form
    1,094.28/1,639.38 = 742.71/x
  3. Step 3: Cross multiply
    1,094.28x = 1,639.38 × 742.71
  4. Step 4: Simplify right side
    1,094.28x = 1,217,583.92
  5. Step 5: Solve for x
    x = 1,217,583.92/1,094.28
  6. Step 6: Final answer
    x = 1,112.68

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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.