Home / 1,149.92-1,723.08-841.40

Finding the Fourth Proportional to 1,149.92, 1,723.08 and 841.40

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Solution

The fourth proportional to 1,149.92, 1,723.08 and 841.40 is: 1,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.92 : 1,723.08 = 841.40 : x
  2. Step 2: Convert to fraction form
    1,149.92/1,723.08 = 841.40/x
  3. Step 3: Cross multiply
    1,149.92x = 1,723.08 × 841.40
  4. Step 4: Simplify right side
    1,149.92x = 1,449,799.51
  5. Step 5: Solve for x
    x = 1,449,799.51/1,149.92
  6. Step 6: Final answer
    x = 1,260.78

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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.