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Finding the Fourth Proportional to 1,229.91, 1,697.18 and 698.79

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Solution

The fourth proportional to 1,229.91, 1,697.18 and 698.79 is: 964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.91 : 1,697.18 = 698.79 : x
  2. Step 2: Convert to fraction form
    1,229.91/1,697.18 = 698.79/x
  3. Step 3: Cross multiply
    1,229.91x = 1,697.18 × 698.79
  4. Step 4: Simplify right side
    1,229.91x = 1,185,968.92
  5. Step 5: Solve for x
    x = 1,185,968.92/1,229.91
  6. Step 6: Final answer
    x = 964.27

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