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Finding the Fourth Proportional to 1,188.10, 1,639.36 and 690.56

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Solution

The fourth proportional to 1,188.10, 1,639.36 and 690.56 is: 952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.10 : 1,639.36 = 690.56 : x
  2. Step 2: Convert to fraction form
    1,188.10/1,639.36 = 690.56/x
  3. Step 3: Cross multiply
    1,188.10x = 1,639.36 × 690.56
  4. Step 4: Simplify right side
    1,188.10x = 1,132,076.44
  5. Step 5: Solve for x
    x = 1,132,076.44/1,188.10
  6. Step 6: Final answer
    x = 952.85

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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.