Home / 1,198.28-1,652.22-976.76

Finding the Fourth Proportional to 1,198.28, 1,652.22 and 976.76

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Solution

The fourth proportional to 1,198.28, 1,652.22 and 976.76 is: 1,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.28 : 1,652.22 = 976.76 : x
  2. Step 2: Convert to fraction form
    1,198.28/1,652.22 = 976.76/x
  3. Step 3: Cross multiply
    1,198.28x = 1,652.22 × 976.76
  4. Step 4: Simplify right side
    1,198.28x = 1,613,822.41
  5. Step 5: Solve for x
    x = 1,613,822.41/1,198.28
  6. Step 6: Final answer
    x = 1,346.78

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Half scale
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Double scale
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1.5x scale

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.