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Finding the Fourth Proportional to 987.11, 1,480.67 and 926.97

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Solution

The fourth proportional to 987.11, 1,480.67 and 926.97 is: 1,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.11 : 1,480.67 = 926.97 : x
  2. Step 2: Convert to fraction form
    987.11/1,480.67 = 926.97/x
  3. Step 3: Cross multiply
    987.11x = 1,480.67 × 926.97
  4. Step 4: Simplify right side
    987.11x = 1,372,532.82
  5. Step 5: Solve for x
    x = 1,372,532.82/987.11
  6. Step 6: Final answer
    x = 1,390.45

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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.