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Finding the Fourth Proportional to 1,189.04, 1,640.50 and 839.12

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Solution

The fourth proportional to 1,189.04, 1,640.50 and 839.12 is: 1,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.04 : 1,640.50 = 839.12 : x
  2. Step 2: Convert to fraction form
    1,189.04/1,640.50 = 839.12/x
  3. Step 3: Cross multiply
    1,189.04x = 1,640.50 × 839.12
  4. Step 4: Simplify right side
    1,189.04x = 1,376,576.36
  5. Step 5: Solve for x
    x = 1,376,576.36/1,189.04
  6. Step 6: Final answer
    x = 1,157.72

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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.