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Finding the Fourth Proportional to 791.15, 1,187.06 and 425.51

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Solution

The fourth proportional to 791.15, 1,187.06 and 425.51 is: 638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.15 : 1,187.06 = 425.51 : x
  2. Step 2: Convert to fraction form
    791.15/1,187.06 = 425.51/x
  3. Step 3: Cross multiply
    791.15x = 1,187.06 × 425.51
  4. Step 4: Simplify right side
    791.15x = 505,109.93
  5. Step 5: Solve for x
    x = 505,109.93/791.15
  6. Step 6: Final answer
    x = 638.45

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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.