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Finding the Fourth Proportional to 545.68, 814.73 and 512.92

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Solution

The fourth proportional to 545.68, 814.73 and 512.92 is: 765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.68 : 814.73 = 512.92 : x
  2. Step 2: Convert to fraction form
    545.68/814.73 = 512.92/x
  3. Step 3: Cross multiply
    545.68x = 814.73 × 512.92
  4. Step 4: Simplify right side
    545.68x = 417,891.31
  5. Step 5: Solve for x
    x = 417,891.31/545.68
  6. Step 6: Final answer
    x = 765.82

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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.