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Finding the Fourth Proportional to 545.38, 752.61 and 324.32

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Solution

The fourth proportional to 545.38, 752.61 and 324.32 is: 447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.38 : 752.61 = 324.32 : x
  2. Step 2: Convert to fraction form
    545.38/752.61 = 324.32/x
  3. Step 3: Cross multiply
    545.38x = 752.61 × 324.32
  4. Step 4: Simplify right side
    545.38x = 244,088.02
  5. Step 5: Solve for x
    x = 244,088.02/545.38
  6. Step 6: Final answer
    x = 447.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.