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Finding the Fourth Proportional to 791.14, 1,186.71 and 322.62

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Solution

The fourth proportional to 791.14, 1,186.71 and 322.62 is: 483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.14 : 1,186.71 = 322.62 : x
  2. Step 2: Convert to fraction form
    791.14/1,186.71 = 322.62/x
  3. Step 3: Cross multiply
    791.14x = 1,186.71 × 322.62
  4. Step 4: Simplify right side
    791.14x = 382,854.77
  5. Step 5: Solve for x
    x = 382,854.77/791.14
  6. Step 6: Final answer
    x = 483.93

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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.