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Finding the Fourth Proportional to 998.46, 1,488.24 and 919.08

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Solution

The fourth proportional to 998.46, 1,488.24 and 919.08 is: 1,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.46 : 1,488.24 = 919.08 : x
  2. Step 2: Convert to fraction form
    998.46/1,488.24 = 919.08/x
  3. Step 3: Cross multiply
    998.46x = 1,488.24 × 919.08
  4. Step 4: Simplify right side
    998.46x = 1,367,811.62
  5. Step 5: Solve for x
    x = 1,367,811.62/998.46
  6. Step 6: Final answer
    x = 1,369.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.