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Finding the Fourth Proportional to 544.89, 752.56 and 359.20

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Solution

The fourth proportional to 544.89, 752.56 and 359.20 is: 496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.89 : 752.56 = 359.20 : x
  2. Step 2: Convert to fraction form
    544.89/752.56 = 359.20/x
  3. Step 3: Cross multiply
    544.89x = 752.56 × 359.20
  4. Step 4: Simplify right side
    544.89x = 270,323.18
  5. Step 5: Solve for x
    x = 270,323.18/544.89
  6. Step 6: Final answer
    x = 496.11

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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.