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Finding the Fourth Proportional to 692.90, 1,040.74 and 433.37

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Solution

The fourth proportional to 692.90, 1,040.74 and 433.37 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.90 : 1,040.74 = 433.37 : x
  2. Step 2: Convert to fraction form
    692.90/1,040.74 = 433.37/x
  3. Step 3: Cross multiply
    692.90x = 1,040.74 × 433.37
  4. Step 4: Simplify right side
    692.90x = 451,019.21
  5. Step 5: Solve for x
    x = 451,019.21/692.90
  6. Step 6: Final answer
    x = 650.91

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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.