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Finding the Fourth Proportional to 547.82, 817.52 and 489.44

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Solution

The fourth proportional to 547.82, 817.52 and 489.44 is: 730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 817.52 = 489.44 : x
  2. Step 2: Convert to fraction form
    547.82/817.52 = 489.44/x
  3. Step 3: Cross multiply
    547.82x = 817.52 × 489.44
  4. Step 4: Simplify right side
    547.82x = 400,120.45
  5. Step 5: Solve for x
    x = 400,120.45/547.82
  6. Step 6: Final answer
    x = 730.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.