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Finding the Fourth Proportional to 547.29, 820.45 and 392.83

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Solution

The fourth proportional to 547.29, 820.45 and 392.83 is: 588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 820.45 = 392.83 : x
  2. Step 2: Convert to fraction form
    547.29/820.45 = 392.83/x
  3. Step 3: Cross multiply
    547.29x = 820.45 × 392.83
  4. Step 4: Simplify right side
    547.29x = 322,297.37
  5. Step 5: Solve for x
    x = 322,297.37/547.29
  6. Step 6: Final answer
    x = 588.90

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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.