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Finding the Fourth Proportional to 552.72, 768.10 and 545.83

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Solution

The fourth proportional to 552.72, 768.10 and 545.83 is: 758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 768.10 = 545.83 : x
  2. Step 2: Convert to fraction form
    552.72/768.10 = 545.83/x
  3. Step 3: Cross multiply
    552.72x = 768.10 × 545.83
  4. Step 4: Simplify right side
    552.72x = 419,252.02
  5. Step 5: Solve for x
    x = 419,252.02/552.72
  6. Step 6: Final answer
    x = 758.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.