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Finding the Fourth Proportional to 545.50, 818.71 and 285.59

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Solution

The fourth proportional to 545.50, 818.71 and 285.59 is: 428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.50 : 818.71 = 285.59 : x
  2. Step 2: Convert to fraction form
    545.50/818.71 = 285.59/x
  3. Step 3: Cross multiply
    545.50x = 818.71 × 285.59
  4. Step 4: Simplify right side
    545.50x = 233,816.72
  5. Step 5: Solve for x
    x = 233,816.72/545.50
  6. Step 6: Final answer
    x = 428.63

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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.