Home / 1,298.40-1,947.60-432.78

Finding the Fourth Proportional to 1,298.40, 1,947.60 and 432.78

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Solution

The fourth proportional to 1,298.40, 1,947.60 and 432.78 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.40 : 1,947.60 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,298.40/1,947.60 = 432.78/x
  3. Step 3: Cross multiply
    1,298.40x = 1,947.60 × 432.78
  4. Step 4: Simplify right side
    1,298.40x = 842,882.33
  5. Step 5: Solve for x
    x = 842,882.33/1,298.40
  6. Step 6: Final answer
    x = 649.17

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Half scale
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Double scale
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Similar ratio
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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.