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Finding the Fourth Proportional to 839.73, 1,259.52 and 223.44

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Solution

The fourth proportional to 839.73, 1,259.52 and 223.44 is: 335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.73 : 1,259.52 = 223.44 : x
  2. Step 2: Convert to fraction form
    839.73/1,259.52 = 223.44/x
  3. Step 3: Cross multiply
    839.73x = 1,259.52 × 223.44
  4. Step 4: Simplify right side
    839.73x = 281,427.15
  5. Step 5: Solve for x
    x = 281,427.15/839.73
  6. Step 6: Final answer
    x = 335.14

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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.