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Finding the Fourth Proportional to 791.99, 1,187.82 and 462.71

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Solution

The fourth proportional to 791.99, 1,187.82 and 462.71 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.99 : 1,187.82 = 462.71 : x
  2. Step 2: Convert to fraction form
    791.99/1,187.82 = 462.71/x
  3. Step 3: Cross multiply
    791.99x = 1,187.82 × 462.71
  4. Step 4: Simplify right side
    791.99x = 549,616.19
  5. Step 5: Solve for x
    x = 549,616.19/791.99
  6. Step 6: Final answer
    x = 693.97

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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.