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Finding the Fourth Proportional to 692.88, 1,039.55 and 254.18

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Solution

The fourth proportional to 692.88, 1,039.55 and 254.18 is: 381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.88 : 1,039.55 = 254.18 : x
  2. Step 2: Convert to fraction form
    692.88/1,039.55 = 254.18/x
  3. Step 3: Cross multiply
    692.88x = 1,039.55 × 254.18
  4. Step 4: Simplify right side
    692.88x = 264,226.35
  5. Step 5: Solve for x
    x = 264,226.35/692.88
  6. Step 6: Final answer
    x = 381.35

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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.