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Finding the Fourth Proportional to 692.11, 1,036.50 and 383.23

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Solution

The fourth proportional to 692.11, 1,036.50 and 383.23 is: 573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.11 : 1,036.50 = 383.23 : x
  2. Step 2: Convert to fraction form
    692.11/1,036.50 = 383.23/x
  3. Step 3: Cross multiply
    692.11x = 1,036.50 × 383.23
  4. Step 4: Simplify right side
    692.11x = 397,217.90
  5. Step 5: Solve for x
    x = 397,217.90/692.11
  6. Step 6: Final answer
    x = 573.92

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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.