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Finding the Fourth Proportional to 547.46, 820.84 and 273.40

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Solution

The fourth proportional to 547.46, 820.84 and 273.40 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.46 : 820.84 = 273.40 : x
  2. Step 2: Convert to fraction form
    547.46/820.84 = 273.40/x
  3. Step 3: Cross multiply
    547.46x = 820.84 × 273.40
  4. Step 4: Simplify right side
    547.46x = 224,417.66
  5. Step 5: Solve for x
    x = 224,417.66/547.46
  6. Step 6: Final answer
    x = 409.93

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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.