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Finding the Fourth Proportional to 842.76, 1,257.23 and 783.84

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Solution

The fourth proportional to 842.76, 1,257.23 and 783.84 is: 1,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.76 : 1,257.23 = 783.84 : x
  2. Step 2: Convert to fraction form
    842.76/1,257.23 = 783.84/x
  3. Step 3: Cross multiply
    842.76x = 1,257.23 × 783.84
  4. Step 4: Simplify right side
    842.76x = 985,467.16
  5. Step 5: Solve for x
    x = 985,467.16/842.76
  6. Step 6: Final answer
    x = 1,169.33

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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.