Home / 1,254.24-1,729.14-834.61

Finding the Fourth Proportional to 1,254.24, 1,729.14 and 834.61

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Solution

The fourth proportional to 1,254.24, 1,729.14 and 834.61 is: 1,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.24 : 1,729.14 = 834.61 : x
  2. Step 2: Convert to fraction form
    1,254.24/1,729.14 = 834.61/x
  3. Step 3: Cross multiply
    1,254.24x = 1,729.14 × 834.61
  4. Step 4: Simplify right side
    1,254.24x = 1,443,157.54
  5. Step 5: Solve for x
    x = 1,443,157.54/1,254.24
  6. Step 6: Final answer
    x = 1,150.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.