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Finding the Fourth Proportional to 712.14, 987.77 and 681.90

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Solution

The fourth proportional to 712.14, 987.77 and 681.90 is: 945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.14 : 987.77 = 681.90 : x
  2. Step 2: Convert to fraction form
    712.14/987.77 = 681.90/x
  3. Step 3: Cross multiply
    712.14x = 987.77 × 681.90
  4. Step 4: Simplify right side
    712.14x = 673,556.95
  5. Step 5: Solve for x
    x = 673,556.95/712.14
  6. Step 6: Final answer
    x = 945.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.