Home / 1,559.46-2,339.19-829.92

Finding the Fourth Proportional to 1,559.46, 2,339.19 and 829.92

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Solution

The fourth proportional to 1,559.46, 2,339.19 and 829.92 is: 1,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.46 : 2,339.19 = 829.92 : x
  2. Step 2: Convert to fraction form
    1,559.46/2,339.19 = 829.92/x
  3. Step 3: Cross multiply
    1,559.46x = 2,339.19 × 829.92
  4. Step 4: Simplify right side
    1,559.46x = 1,941,340.56
  5. Step 5: Solve for x
    x = 1,941,340.56/1,559.46
  6. Step 6: Final answer
    x = 1,244.88

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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.