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Finding the Fourth Proportional to 1,209.76, 1,667.24 and 988

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Solution

The fourth proportional to 1,209.76, 1,667.24 and 988 is: 1,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.76 : 1,667.24 = 988 : x
  2. Step 2: Convert to fraction form
    1,209.76/1,667.24 = 988/x
  3. Step 3: Cross multiply
    1,209.76x = 1,667.24 × 988
  4. Step 4: Simplify right side
    1,209.76x = 1,647,233.12
  5. Step 5: Solve for x
    x = 1,647,233.12/1,209.76
  6. Step 6: Final answer
    x = 1,361.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.