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Finding the Fourth Proportional to 998.11, 1,497.94 and 692.11

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Solution

The fourth proportional to 998.11, 1,497.94 and 692.11 is: 1,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.11 : 1,497.94 = 692.11 : x
  2. Step 2: Convert to fraction form
    998.11/1,497.94 = 692.11/x
  3. Step 3: Cross multiply
    998.11x = 1,497.94 × 692.11
  4. Step 4: Simplify right side
    998.11x = 1,036,743.29
  5. Step 5: Solve for x
    x = 1,036,743.29/998.11
  6. Step 6: Final answer
    x = 1,038.71

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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.