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Finding the Fourth Proportional to 545.41, 814.49 and 517.33

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Solution

The fourth proportional to 545.41, 814.49 and 517.33 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 814.49 = 517.33 : x
  2. Step 2: Convert to fraction form
    545.41/814.49 = 517.33/x
  3. Step 3: Cross multiply
    545.41x = 814.49 × 517.33
  4. Step 4: Simplify right side
    545.41x = 421,360.11
  5. Step 5: Solve for x
    x = 421,360.11/545.41
  6. Step 6: Final answer
    x = 772.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.