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Finding the Fourth Proportional to 543.92, 815.05 and 367.57

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Solution

The fourth proportional to 543.92, 815.05 and 367.57 is: 550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 815.05 = 367.57 : x
  2. Step 2: Convert to fraction form
    543.92/815.05 = 367.57/x
  3. Step 3: Cross multiply
    543.92x = 815.05 × 367.57
  4. Step 4: Simplify right side
    543.92x = 299,587.34
  5. Step 5: Solve for x
    x = 299,587.34/543.92
  6. Step 6: Final answer
    x = 550.80

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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.