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Finding the Fourth Proportional to 544.32, 745.44 and 537.12

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Solution

The fourth proportional to 544.32, 745.44 and 537.12 is: 735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.32 : 745.44 = 537.12 : x
  2. Step 2: Convert to fraction form
    544.32/745.44 = 537.12/x
  3. Step 3: Cross multiply
    544.32x = 745.44 × 537.12
  4. Step 4: Simplify right side
    544.32x = 400,390.73
  5. Step 5: Solve for x
    x = 400,390.73/544.32
  6. Step 6: Final answer
    x = 735.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.