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Finding the Fourth Proportional to 541.82, 810.61 and 378.41

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Solution

The fourth proportional to 541.82, 810.61 and 378.41 is: 566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.82 : 810.61 = 378.41 : x
  2. Step 2: Convert to fraction form
    541.82/810.61 = 378.41/x
  3. Step 3: Cross multiply
    541.82x = 810.61 × 378.41
  4. Step 4: Simplify right side
    541.82x = 306,737.93
  5. Step 5: Solve for x
    x = 306,737.93/541.82
  6. Step 6: Final answer
    x = 566.12

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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.