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Finding the Fourth Proportional to 541.19, 747.10 and 408.47

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Solution

The fourth proportional to 541.19, 747.10 and 408.47 is: 563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.19 : 747.10 = 408.47 : x
  2. Step 2: Convert to fraction form
    541.19/747.10 = 408.47/x
  3. Step 3: Cross multiply
    541.19x = 747.10 × 408.47
  4. Step 4: Simplify right side
    541.19x = 305,167.94
  5. Step 5: Solve for x
    x = 305,167.94/541.19
  6. Step 6: Final answer
    x = 563.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.