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Finding the Fourth Proportional to 1,360.80, 2,039.52 and 873.12

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Solution

The fourth proportional to 1,360.80, 2,039.52 and 873.12 is: 1,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.80 : 2,039.52 = 873.12 : x
  2. Step 2: Convert to fraction form
    1,360.80/2,039.52 = 873.12/x
  3. Step 3: Cross multiply
    1,360.80x = 2,039.52 × 873.12
  4. Step 4: Simplify right side
    1,360.80x = 1,780,745.70
  5. Step 5: Solve for x
    x = 1,780,745.70/1,360.80
  6. Step 6: Final answer
    x = 1,308.60

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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.