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Finding the Fourth Proportional to 791.88, 1,187.28 and 426.30

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Solution

The fourth proportional to 791.88, 1,187.28 and 426.30 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.88 : 1,187.28 = 426.30 : x
  2. Step 2: Convert to fraction form
    791.88/1,187.28 = 426.30/x
  3. Step 3: Cross multiply
    791.88x = 1,187.28 × 426.30
  4. Step 4: Simplify right side
    791.88x = 506,137.46
  5. Step 5: Solve for x
    x = 506,137.46/791.88
  6. Step 6: Final answer
    x = 639.16

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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.