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Finding the Fourth Proportional to 547.74, 820.05 and 287.15

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Solution

The fourth proportional to 547.74, 820.05 and 287.15 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 820.05 = 287.15 : x
  2. Step 2: Convert to fraction form
    547.74/820.05 = 287.15/x
  3. Step 3: Cross multiply
    547.74x = 820.05 × 287.15
  4. Step 4: Simplify right side
    547.74x = 235,472.99
  5. Step 5: Solve for x
    x = 235,472.99/547.74
  6. Step 6: Final answer
    x = 429.90

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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.