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Finding the Fourth Proportional to 559.89, 768.11 and 545.58

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Solution

The fourth proportional to 559.89, 768.11 and 545.58 is: 748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.89 : 768.11 = 545.58 : x
  2. Step 2: Convert to fraction form
    559.89/768.11 = 545.58/x
  3. Step 3: Cross multiply
    559.89x = 768.11 × 545.58
  4. Step 4: Simplify right side
    559.89x = 419,062.73
  5. Step 5: Solve for x
    x = 419,062.73/559.89
  6. Step 6: Final answer
    x = 748.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.