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Finding the Fourth Proportional to 823.57, 1,234.95 and 545.74

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Solution

The fourth proportional to 823.57, 1,234.95 and 545.74 is: 818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,234.95 = 545.74 : x
  2. Step 2: Convert to fraction form
    823.57/1,234.95 = 545.74/x
  3. Step 3: Cross multiply
    823.57x = 1,234.95 × 545.74
  4. Step 4: Simplify right side
    823.57x = 673,961.61
  5. Step 5: Solve for x
    x = 673,961.61/823.57
  6. Step 6: Final answer
    x = 818.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.