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Finding the Fourth Proportional to 791.84, 1,192.40 and 587.86

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Solution

The fourth proportional to 791.84, 1,192.40 and 587.86 is: 885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,192.40 = 587.86 : x
  2. Step 2: Convert to fraction form
    791.84/1,192.40 = 587.86/x
  3. Step 3: Cross multiply
    791.84x = 1,192.40 × 587.86
  4. Step 4: Simplify right side
    791.84x = 700,964.26
  5. Step 5: Solve for x
    x = 700,964.26/791.84
  6. Step 6: Final answer
    x = 885.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.