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Finding the Fourth Proportional to 1,216.35, 1,680.12 and 998.01

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Solution

The fourth proportional to 1,216.35, 1,680.12 and 998.01 is: 1,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.35 : 1,680.12 = 998.01 : x
  2. Step 2: Convert to fraction form
    1,216.35/1,680.12 = 998.01/x
  3. Step 3: Cross multiply
    1,216.35x = 1,680.12 × 998.01
  4. Step 4: Simplify right side
    1,216.35x = 1,676,776.56
  5. Step 5: Solve for x
    x = 1,676,776.56/1,216.35
  6. Step 6: Final answer
    x = 1,378.53

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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.