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Finding the Fourth Proportional to 545.55, 817.38 and 326.04

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Solution

The fourth proportional to 545.55, 817.38 and 326.04 is: 488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.55 : 817.38 = 326.04 : x
  2. Step 2: Convert to fraction form
    545.55/817.38 = 326.04/x
  3. Step 3: Cross multiply
    545.55x = 817.38 × 326.04
  4. Step 4: Simplify right side
    545.55x = 266,498.58
  5. Step 5: Solve for x
    x = 266,498.58/545.55
  6. Step 6: Final answer
    x = 488.50

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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.