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Finding the Fourth Proportional to 545.64, 816.43 and 326.39

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Solution

The fourth proportional to 545.64, 816.43 and 326.39 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.64 : 816.43 = 326.39 : x
  2. Step 2: Convert to fraction form
    545.64/816.43 = 326.39/x
  3. Step 3: Cross multiply
    545.64x = 816.43 × 326.39
  4. Step 4: Simplify right side
    545.64x = 266,470.30
  5. Step 5: Solve for x
    x = 266,470.30/545.64
  6. Step 6: Final answer
    x = 488.36

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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.