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Finding the Fourth Proportional to 547.85, 822.10 and 239.69

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Solution

The fourth proportional to 547.85, 822.10 and 239.69 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.85 : 822.10 = 239.69 : x
  2. Step 2: Convert to fraction form
    547.85/822.10 = 239.69/x
  3. Step 3: Cross multiply
    547.85x = 822.10 × 239.69
  4. Step 4: Simplify right side
    547.85x = 197,051.05
  5. Step 5: Solve for x
    x = 197,051.05/547.85
  6. Step 6: Final answer
    x = 359.68

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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.