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Finding the Fourth Proportional to 838.15, 1,257.80 and 344.65

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Solution

The fourth proportional to 838.15, 1,257.80 and 344.65 is: 517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.15 : 1,257.80 = 344.65 : x
  2. Step 2: Convert to fraction form
    838.15/1,257.80 = 344.65/x
  3. Step 3: Cross multiply
    838.15x = 1,257.80 × 344.65
  4. Step 4: Simplify right side
    838.15x = 433,497.47
  5. Step 5: Solve for x
    x = 433,497.47/838.15
  6. Step 6: Final answer
    x = 517.21

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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.