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Finding the Fourth Proportional to 692.52, 1,036.98 and 403.80

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Solution

The fourth proportional to 692.52, 1,036.98 and 403.80 is: 604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.52 : 1,036.98 = 403.80 : x
  2. Step 2: Convert to fraction form
    692.52/1,036.98 = 403.80/x
  3. Step 3: Cross multiply
    692.52x = 1,036.98 × 403.80
  4. Step 4: Simplify right side
    692.52x = 418,732.52
  5. Step 5: Solve for x
    x = 418,732.52/692.52
  6. Step 6: Final answer
    x = 604.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.