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Finding the Fourth Proportional to 824.78, 1,146 and 816.22

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Solution

The fourth proportional to 824.78, 1,146 and 816.22 is: 1,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.78 : 1,146 = 816.22 : x
  2. Step 2: Convert to fraction form
    824.78/1,146 = 816.22/x
  3. Step 3: Cross multiply
    824.78x = 1,146 × 816.22
  4. Step 4: Simplify right side
    824.78x = 935,388.12
  5. Step 5: Solve for x
    x = 935,388.12/824.78
  6. Step 6: Final answer
    x = 1,134.11

Related Problems

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