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Finding the Fourth Proportional to 968.20, 1,451.11 and 690.12

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Solution

The fourth proportional to 968.20, 1,451.11 and 690.12 is: 1,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,451.11 = 690.12 : x
  2. Step 2: Convert to fraction form
    968.20/1,451.11 = 690.12/x
  3. Step 3: Cross multiply
    968.20x = 1,451.11 × 690.12
  4. Step 4: Simplify right side
    968.20x = 1,001,440.03
  5. Step 5: Solve for x
    x = 1,001,440.03/968.20
  6. Step 6: Final answer
    x = 1,034.33

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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.