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Finding the Fourth Proportional to 791.17, 1,186.98 and 328.86

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Solution

The fourth proportional to 791.17, 1,186.98 and 328.86 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.17 : 1,186.98 = 328.86 : x
  2. Step 2: Convert to fraction form
    791.17/1,186.98 = 328.86/x
  3. Step 3: Cross multiply
    791.17x = 1,186.98 × 328.86
  4. Step 4: Simplify right side
    791.17x = 390,350.24
  5. Step 5: Solve for x
    x = 390,350.24/791.17
  6. Step 6: Final answer
    x = 493.39

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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.