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Finding the Fourth Proportional to 692.93, 1,033.03 and 638.12

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Solution

The fourth proportional to 692.93, 1,033.03 and 638.12 is: 951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 1,033.03 = 638.12 : x
  2. Step 2: Convert to fraction form
    692.93/1,033.03 = 638.12/x
  3. Step 3: Cross multiply
    692.93x = 1,033.03 × 638.12
  4. Step 4: Simplify right side
    692.93x = 659,197.10
  5. Step 5: Solve for x
    x = 659,197.10/692.93
  6. Step 6: Final answer
    x = 951.32

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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.