Home / 1,156.20-1,732.68-867.30

Finding the Fourth Proportional to 1,156.20, 1,732.68 and 867.30

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Solution

The fourth proportional to 1,156.20, 1,732.68 and 867.30 is: 1,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.20 : 1,732.68 = 867.30 : x
  2. Step 2: Convert to fraction form
    1,156.20/1,732.68 = 867.30/x
  3. Step 3: Cross multiply
    1,156.20x = 1,732.68 × 867.30
  4. Step 4: Simplify right side
    1,156.20x = 1,502,753.36
  5. Step 5: Solve for x
    x = 1,502,753.36/1,156.20
  6. Step 6: Final answer
    x = 1,299.73

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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.