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Finding the Fourth Proportional to 824.78, 1,138.19 and 451.76

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Solution

The fourth proportional to 824.78, 1,138.19 and 451.76 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.78 : 1,138.19 = 451.76 : x
  2. Step 2: Convert to fraction form
    824.78/1,138.19 = 451.76/x
  3. Step 3: Cross multiply
    824.78x = 1,138.19 × 451.76
  4. Step 4: Simplify right side
    824.78x = 514,183.02
  5. Step 5: Solve for x
    x = 514,183.02/824.78
  6. Step 6: Final answer
    x = 623.42

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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.