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Finding the Fourth Proportional to 1,283.62, 1,770.18 and 1,189.30

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Solution

The fourth proportional to 1,283.62, 1,770.18 and 1,189.30 is: 1,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.62 : 1,770.18 = 1,189.30 : x
  2. Step 2: Convert to fraction form
    1,283.62/1,770.18 = 1,189.30/x
  3. Step 3: Cross multiply
    1,283.62x = 1,770.18 × 1,189.30
  4. Step 4: Simplify right side
    1,283.62x = 2,105,275.07
  5. Step 5: Solve for x
    x = 2,105,275.07/1,283.62
  6. Step 6: Final answer
    x = 1,640.11

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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.