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Finding the Fourth Proportional to 547.74, 820.89 and 258.66

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Solution

The fourth proportional to 547.74, 820.89 and 258.66 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 820.89 = 258.66 : x
  2. Step 2: Convert to fraction form
    547.74/820.89 = 258.66/x
  3. Step 3: Cross multiply
    547.74x = 820.89 × 258.66
  4. Step 4: Simplify right side
    547.74x = 212,331.41
  5. Step 5: Solve for x
    x = 212,331.41/547.74
  6. Step 6: Final answer
    x = 387.65

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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.