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Finding the Fourth Proportional to 967.38, 1,449.39 and 692.10

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Solution

The fourth proportional to 967.38, 1,449.39 and 692.10 is: 1,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,449.39 = 692.10 : x
  2. Step 2: Convert to fraction form
    967.38/1,449.39 = 692.10/x
  3. Step 3: Cross multiply
    967.38x = 1,449.39 × 692.10
  4. Step 4: Simplify right side
    967.38x = 1,003,122.82
  5. Step 5: Solve for x
    x = 1,003,122.82/967.38
  6. Step 6: Final answer
    x = 1,036.95

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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.