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Finding the Fourth Proportional to 820.92, 1,132.46 and 572.46

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Solution

The fourth proportional to 820.92, 1,132.46 and 572.46 is: 789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.92 : 1,132.46 = 572.46 : x
  2. Step 2: Convert to fraction form
    820.92/1,132.46 = 572.46/x
  3. Step 3: Cross multiply
    820.92x = 1,132.46 × 572.46
  4. Step 4: Simplify right side
    820.92x = 648,288.05
  5. Step 5: Solve for x
    x = 648,288.05/820.92
  6. Step 6: Final answer
    x = 789.71

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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.