Home / 1,298.25-1,947.42-432.54

Finding the Fourth Proportional to 1,298.25, 1,947.42 and 432.54

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Solution

The fourth proportional to 1,298.25, 1,947.42 and 432.54 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.25 : 1,947.42 = 432.54 : x
  2. Step 2: Convert to fraction form
    1,298.25/1,947.42 = 432.54/x
  3. Step 3: Cross multiply
    1,298.25x = 1,947.42 × 432.54
  4. Step 4: Simplify right side
    1,298.25x = 842,337.05
  5. Step 5: Solve for x
    x = 842,337.05/1,298.25
  6. Step 6: Final answer
    x = 648.82

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1.5x scale

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.