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Finding the Fourth Proportional to 791.06, 1,178.49 and 782.42

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Solution

The fourth proportional to 791.06, 1,178.49 and 782.42 is: 1,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.06 : 1,178.49 = 782.42 : x
  2. Step 2: Convert to fraction form
    791.06/1,178.49 = 782.42/x
  3. Step 3: Cross multiply
    791.06x = 1,178.49 × 782.42
  4. Step 4: Simplify right side
    791.06x = 922,070.23
  5. Step 5: Solve for x
    x = 922,070.23/791.06
  6. Step 6: Final answer
    x = 1,165.61

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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.