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Finding the Fourth Proportional to 547.62, 820.99 and 273.57

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Solution

The fourth proportional to 547.62, 820.99 and 273.57 is: 410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.62 : 820.99 = 273.57 : x
  2. Step 2: Convert to fraction form
    547.62/820.99 = 273.57/x
  3. Step 3: Cross multiply
    547.62x = 820.99 × 273.57
  4. Step 4: Simplify right side
    547.62x = 224,592.76
  5. Step 5: Solve for x
    x = 224,592.76/547.62
  6. Step 6: Final answer
    x = 410.13

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1.5x scale

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.