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Finding the Fourth Proportional to 692.98, 1,039.42 and 254.24

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Solution

The fourth proportional to 692.98, 1,039.42 and 254.24 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 1,039.42 = 254.24 : x
  2. Step 2: Convert to fraction form
    692.98/1,039.42 = 254.24/x
  3. Step 3: Cross multiply
    692.98x = 1,039.42 × 254.24
  4. Step 4: Simplify right side
    692.98x = 264,262.14
  5. Step 5: Solve for x
    x = 264,262.14/692.98
  6. Step 6: Final answer
    x = 381.34

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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.