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Finding the Fourth Proportional to 541.97, 748.16 and 345.75

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Solution

The fourth proportional to 541.97, 748.16 and 345.75 is: 477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 748.16 = 345.75 : x
  2. Step 2: Convert to fraction form
    541.97/748.16 = 345.75/x
  3. Step 3: Cross multiply
    541.97x = 748.16 × 345.75
  4. Step 4: Simplify right side
    541.97x = 258,672.58
  5. Step 5: Solve for x
    x = 258,672.58/541.97
  6. Step 6: Final answer
    x = 477.29

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Double scale
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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.