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Finding the Fourth Proportional to 843.39, 1,257.65 and 784.95

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Solution

The fourth proportional to 843.39, 1,257.65 and 784.95 is: 1,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.39 : 1,257.65 = 784.95 : x
  2. Step 2: Convert to fraction form
    843.39/1,257.65 = 784.95/x
  3. Step 3: Cross multiply
    843.39x = 1,257.65 × 784.95
  4. Step 4: Simplify right side
    843.39x = 987,188.44
  5. Step 5: Solve for x
    x = 987,188.44/843.39
  6. Step 6: Final answer
    x = 1,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.