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Finding the Fourth Proportional to 544.44, 748.72 and 438.20

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Solution

The fourth proportional to 544.44, 748.72 and 438.20 is: 602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.44 : 748.72 = 438.20 : x
  2. Step 2: Convert to fraction form
    544.44/748.72 = 438.20/x
  3. Step 3: Cross multiply
    544.44x = 748.72 × 438.20
  4. Step 4: Simplify right side
    544.44x = 328,089.10
  5. Step 5: Solve for x
    x = 328,089.10/544.44
  6. Step 6: Final answer
    x = 602.62

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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.