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Finding the Fourth Proportional to 541.89, 813.24 and 380.70

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Solution

The fourth proportional to 541.89, 813.24 and 380.70 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 813.24 = 380.70 : x
  2. Step 2: Convert to fraction form
    541.89/813.24 = 380.70/x
  3. Step 3: Cross multiply
    541.89x = 813.24 × 380.70
  4. Step 4: Simplify right side
    541.89x = 309,600.47
  5. Step 5: Solve for x
    x = 309,600.47/541.89
  6. Step 6: Final answer
    x = 571.33

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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.