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Finding the Fourth Proportional to 1,343.58, 2,016.38 and 997.72

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Solution

The fourth proportional to 1,343.58, 2,016.38 and 997.72 is: 1,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.58 : 2,016.38 = 997.72 : x
  2. Step 2: Convert to fraction form
    1,343.58/2,016.38 = 997.72/x
  3. Step 3: Cross multiply
    1,343.58x = 2,016.38 × 997.72
  4. Step 4: Simplify right side
    1,343.58x = 2,011,782.65
  5. Step 5: Solve for x
    x = 2,011,782.65/1,343.58
  6. Step 6: Final answer
    x = 1,497.33

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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.