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Finding the Fourth Proportional to 791.56, 1,188.78 and 647.56

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Solution

The fourth proportional to 791.56, 1,188.78 and 647.56 is: 972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.56 : 1,188.78 = 647.56 : x
  2. Step 2: Convert to fraction form
    791.56/1,188.78 = 647.56/x
  3. Step 3: Cross multiply
    791.56x = 1,188.78 × 647.56
  4. Step 4: Simplify right side
    791.56x = 769,806.38
  5. Step 5: Solve for x
    x = 769,806.38/791.56
  6. Step 6: Final answer
    x = 972.52

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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.