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Finding the Fourth Proportional to 541.89, 812.49 and 418.17

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Solution

The fourth proportional to 541.89, 812.49 and 418.17 is: 626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 812.49 = 418.17 : x
  2. Step 2: Convert to fraction form
    541.89/812.49 = 418.17/x
  3. Step 3: Cross multiply
    541.89x = 812.49 × 418.17
  4. Step 4: Simplify right side
    541.89x = 339,758.94
  5. Step 5: Solve for x
    x = 339,758.94/541.89
  6. Step 6: Final answer
    x = 626.99

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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.