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Finding the Fourth Proportional to 727.20, 1,089.84 and 342.56

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Solution

The fourth proportional to 727.20, 1,089.84 and 342.56 is: 513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.20 : 1,089.84 = 342.56 : x
  2. Step 2: Convert to fraction form
    727.20/1,089.84 = 342.56/x
  3. Step 3: Cross multiply
    727.20x = 1,089.84 × 342.56
  4. Step 4: Simplify right side
    727.20x = 373,335.59
  5. Step 5: Solve for x
    x = 373,335.59/727.20
  6. Step 6: Final answer
    x = 513.39

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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.