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Finding the Fourth Proportional to 543.79, 815.77 and 269.89

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Solution

The fourth proportional to 543.79, 815.77 and 269.89 is: 404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.79 : 815.77 = 269.89 : x
  2. Step 2: Convert to fraction form
    543.79/815.77 = 269.89/x
  3. Step 3: Cross multiply
    543.79x = 815.77 × 269.89
  4. Step 4: Simplify right side
    543.79x = 220,164.09
  5. Step 5: Solve for x
    x = 220,164.09/543.79
  6. Step 6: Final answer
    x = 404.87

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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.