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Finding the Fourth Proportional to 998.68, 1,378.34 and 625.81

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Solution

The fourth proportional to 998.68, 1,378.34 and 625.81 is: 863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.68 : 1,378.34 = 625.81 : x
  2. Step 2: Convert to fraction form
    998.68/1,378.34 = 625.81/x
  3. Step 3: Cross multiply
    998.68x = 1,378.34 × 625.81
  4. Step 4: Simplify right side
    998.68x = 862,578.96
  5. Step 5: Solve for x
    x = 862,578.96/998.68
  6. Step 6: Final answer
    x = 863.72

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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.