Home / 1,042.13-1,564.25-869.94

Finding the Fourth Proportional to 1,042.13, 1,564.25 and 869.94

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Solution

The fourth proportional to 1,042.13, 1,564.25 and 869.94 is: 1,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.13 : 1,564.25 = 869.94 : x
  2. Step 2: Convert to fraction form
    1,042.13/1,564.25 = 869.94/x
  3. Step 3: Cross multiply
    1,042.13x = 1,564.25 × 869.94
  4. Step 4: Simplify right side
    1,042.13x = 1,360,799.30
  5. Step 5: Solve for x
    x = 1,360,799.30/1,042.13
  6. Step 6: Final answer
    x = 1,305.78

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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.