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Finding the Fourth Proportional to 544.78, 752.28 and 345.96

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Solution

The fourth proportional to 544.78, 752.28 and 345.96 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 752.28 = 345.96 : x
  2. Step 2: Convert to fraction form
    544.78/752.28 = 345.96/x
  3. Step 3: Cross multiply
    544.78x = 752.28 × 345.96
  4. Step 4: Simplify right side
    544.78x = 260,257.49
  5. Step 5: Solve for x
    x = 260,257.49/544.78
  6. Step 6: Final answer
    x = 477.73

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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.