Home / 1,298.44-1,947.16-432.52

Finding the Fourth Proportional to 1,298.44, 1,947.16 and 432.52

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Solution

The fourth proportional to 1,298.44, 1,947.16 and 432.52 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.44 : 1,947.16 = 432.52 : x
  2. Step 2: Convert to fraction form
    1,298.44/1,947.16 = 432.52/x
  3. Step 3: Cross multiply
    1,298.44x = 1,947.16 × 432.52
  4. Step 4: Simplify right side
    1,298.44x = 842,185.64
  5. Step 5: Solve for x
    x = 842,185.64/1,298.44
  6. Step 6: Final answer
    x = 648.61

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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.