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Finding the Fourth Proportional to 541.91, 814.48 and 477.11

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Solution

The fourth proportional to 541.91, 814.48 and 477.11 is: 717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.91 : 814.48 = 477.11 : x
  2. Step 2: Convert to fraction form
    541.91/814.48 = 477.11/x
  3. Step 3: Cross multiply
    541.91x = 814.48 × 477.11
  4. Step 4: Simplify right side
    541.91x = 388,591.29
  5. Step 5: Solve for x
    x = 388,591.29/541.91
  6. Step 6: Final answer
    x = 717.08

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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.