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Finding the Fourth Proportional to 545.82, 820.01 and 516.32

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Solution

The fourth proportional to 545.82, 820.01 and 516.32 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.82 : 820.01 = 516.32 : x
  2. Step 2: Convert to fraction form
    545.82/820.01 = 516.32/x
  3. Step 3: Cross multiply
    545.82x = 820.01 × 516.32
  4. Step 4: Simplify right side
    545.82x = 423,389.54
  5. Step 5: Solve for x
    x = 423,389.54/545.82
  6. Step 6: Final answer
    x = 775.69

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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.