Home / 1,154.20-1,729.68-865.32

Finding the Fourth Proportional to 1,154.20, 1,729.68 and 865.32

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Solution

The fourth proportional to 1,154.20, 1,729.68 and 865.32 is: 1,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.20 : 1,729.68 = 865.32 : x
  2. Step 2: Convert to fraction form
    1,154.20/1,729.68 = 865.32/x
  3. Step 3: Cross multiply
    1,154.20x = 1,729.68 × 865.32
  4. Step 4: Simplify right side
    1,154.20x = 1,496,726.70
  5. Step 5: Solve for x
    x = 1,496,726.70/1,154.20
  6. Step 6: Final answer
    x = 1,296.77

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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.