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Finding the Fourth Proportional to 541.24, 806.46 and 518.42

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Solution

The fourth proportional to 541.24, 806.46 and 518.42 is: 772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 806.46 = 518.42 : x
  2. Step 2: Convert to fraction form
    541.24/806.46 = 518.42/x
  3. Step 3: Cross multiply
    541.24x = 806.46 × 518.42
  4. Step 4: Simplify right side
    541.24x = 418,084.99
  5. Step 5: Solve for x
    x = 418,084.99/541.24
  6. Step 6: Final answer
    x = 772.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.