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Finding the Fourth Proportional to 824.86, 1,138.36 and 545.26

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Solution

The fourth proportional to 824.86, 1,138.36 and 545.26 is: 752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,138.36 = 545.26 : x
  2. Step 2: Convert to fraction form
    824.86/1,138.36 = 545.26/x
  3. Step 3: Cross multiply
    824.86x = 1,138.36 × 545.26
  4. Step 4: Simplify right side
    824.86x = 620,702.17
  5. Step 5: Solve for x
    x = 620,702.17/824.86
  6. Step 6: Final answer
    x = 752.49

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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.