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Finding the Fourth Proportional to 998.14, 1,496.42 and 632.16

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Solution

The fourth proportional to 998.14, 1,496.42 and 632.16 is: 947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.14 : 1,496.42 = 632.16 : x
  2. Step 2: Convert to fraction form
    998.14/1,496.42 = 632.16/x
  3. Step 3: Cross multiply
    998.14x = 1,496.42 × 632.16
  4. Step 4: Simplify right side
    998.14x = 945,976.87
  5. Step 5: Solve for x
    x = 945,976.87/998.14
  6. Step 6: Final answer
    x = 947.74

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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.