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Finding the Fourth Proportional to 820.84, 1,132.11 and 572.55

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Solution

The fourth proportional to 820.84, 1,132.11 and 572.55 is: 789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.84 : 1,132.11 = 572.55 : x
  2. Step 2: Convert to fraction form
    820.84/1,132.11 = 572.55/x
  3. Step 3: Cross multiply
    820.84x = 1,132.11 × 572.55
  4. Step 4: Simplify right side
    820.84x = 648,189.58
  5. Step 5: Solve for x
    x = 648,189.58/820.84
  6. Step 6: Final answer
    x = 789.67

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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.