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Finding the Fourth Proportional to 824.68, 1,138.25 and 544.92

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Solution

The fourth proportional to 824.68, 1,138.25 and 544.92 is: 752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.68 : 1,138.25 = 544.92 : x
  2. Step 2: Convert to fraction form
    824.68/1,138.25 = 544.92/x
  3. Step 3: Cross multiply
    824.68x = 1,138.25 × 544.92
  4. Step 4: Simplify right side
    824.68x = 620,255.62
  5. Step 5: Solve for x
    x = 620,255.62/824.68
  6. Step 6: Final answer
    x = 752.12

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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.