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Finding the Fourth Proportional to 545.94, 818.51 and 362.75

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Solution

The fourth proportional to 545.94, 818.51 and 362.75 is: 543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 818.51 = 362.75 : x
  2. Step 2: Convert to fraction form
    545.94/818.51 = 362.75/x
  3. Step 3: Cross multiply
    545.94x = 818.51 × 362.75
  4. Step 4: Simplify right side
    545.94x = 296,908.60
  5. Step 5: Solve for x
    x = 296,908.60/545.94
  6. Step 6: Final answer
    x = 543.85

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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.