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Finding the Fourth Proportional to 842.66, 1,257.63 and 787.94

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Solution

The fourth proportional to 842.66, 1,257.63 and 787.94 is: 1,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.66 : 1,257.63 = 787.94 : x
  2. Step 2: Convert to fraction form
    842.66/1,257.63 = 787.94/x
  3. Step 3: Cross multiply
    842.66x = 1,257.63 × 787.94
  4. Step 4: Simplify right side
    842.66x = 990,933.04
  5. Step 5: Solve for x
    x = 990,933.04/842.66
  6. Step 6: Final answer
    x = 1,175.96

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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.