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Finding the Fourth Proportional to 547.15, 820.37 and 489.55

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Solution

The fourth proportional to 547.15, 820.37 and 489.55 is: 734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.15 : 820.37 = 489.55 : x
  2. Step 2: Convert to fraction form
    547.15/820.37 = 489.55/x
  3. Step 3: Cross multiply
    547.15x = 820.37 × 489.55
  4. Step 4: Simplify right side
    547.15x = 401,609.69
  5. Step 5: Solve for x
    x = 401,609.69/547.15
  6. Step 6: Final answer
    x = 734.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.