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Finding the Fourth Proportional to 1,324.01, 1,828.05 and 826.76

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Solution

The fourth proportional to 1,324.01, 1,828.05 and 826.76 is: 1,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.01 : 1,828.05 = 826.76 : x
  2. Step 2: Convert to fraction form
    1,324.01/1,828.05 = 826.76/x
  3. Step 3: Cross multiply
    1,324.01x = 1,828.05 × 826.76
  4. Step 4: Simplify right side
    1,324.01x = 1,511,358.62
  5. Step 5: Solve for x
    x = 1,511,358.62/1,324.01
  6. Step 6: Final answer
    x = 1,141.50

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.