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Finding the Fourth Proportional to 541.88, 747.70 and 394.56

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Solution

The fourth proportional to 541.88, 747.70 and 394.56 is: 544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.88 : 747.70 = 394.56 : x
  2. Step 2: Convert to fraction form
    541.88/747.70 = 394.56/x
  3. Step 3: Cross multiply
    541.88x = 747.70 × 394.56
  4. Step 4: Simplify right side
    541.88x = 295,012.51
  5. Step 5: Solve for x
    x = 295,012.51/541.88
  6. Step 6: Final answer
    x = 544.42

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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.