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Finding the Fourth Proportional to 547.69, 821.10 and 273.97

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Solution

The fourth proportional to 547.69, 821.10 and 273.97 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.69 : 821.10 = 273.97 : x
  2. Step 2: Convert to fraction form
    547.69/821.10 = 273.97/x
  3. Step 3: Cross multiply
    547.69x = 821.10 × 273.97
  4. Step 4: Simplify right side
    547.69x = 224,954.71
  5. Step 5: Solve for x
    x = 224,954.71/547.69
  6. Step 6: Final answer
    x = 410.74

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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.