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Finding the Fourth Proportional to 820.53, 1,229.18 and 545.13

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Solution

The fourth proportional to 820.53, 1,229.18 and 545.13 is: 816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.53 : 1,229.18 = 545.13 : x
  2. Step 2: Convert to fraction form
    820.53/1,229.18 = 545.13/x
  3. Step 3: Cross multiply
    820.53x = 1,229.18 × 545.13
  4. Step 4: Simplify right side
    820.53x = 670,060.17
  5. Step 5: Solve for x
    x = 670,060.17/820.53
  6. Step 6: Final answer
    x = 816.62

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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.