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Finding the Fourth Proportional to 791.43, 1,090.71 and 616.47

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Solution

The fourth proportional to 791.43, 1,090.71 and 616.47 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.43 : 1,090.71 = 616.47 : x
  2. Step 2: Convert to fraction form
    791.43/1,090.71 = 616.47/x
  3. Step 3: Cross multiply
    791.43x = 1,090.71 × 616.47
  4. Step 4: Simplify right side
    791.43x = 672,389.99
  5. Step 5: Solve for x
    x = 672,389.99/791.43
  6. Step 6: Final answer
    x = 849.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.