Home / 1,359.22-2,035.98-869.78

Finding the Fourth Proportional to 1,359.22, 2,035.98 and 869.78

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Solution

The fourth proportional to 1,359.22, 2,035.98 and 869.78 is: 1,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.22 : 2,035.98 = 869.78 : x
  2. Step 2: Convert to fraction form
    1,359.22/2,035.98 = 869.78/x
  3. Step 3: Cross multiply
    1,359.22x = 2,035.98 × 869.78
  4. Step 4: Simplify right side
    1,359.22x = 1,770,854.68
  5. Step 5: Solve for x
    x = 1,770,854.68/1,359.22
  6. Step 6: Final answer
    x = 1,302.85

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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.