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Finding the Fourth Proportional to 692.55, 1,037.61 and 418.77

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Solution

The fourth proportional to 692.55, 1,037.61 and 418.77 is: 627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.55 : 1,037.61 = 418.77 : x
  2. Step 2: Convert to fraction form
    692.55/1,037.61 = 418.77/x
  3. Step 3: Cross multiply
    692.55x = 1,037.61 × 418.77
  4. Step 4: Simplify right side
    692.55x = 434,519.94
  5. Step 5: Solve for x
    x = 434,519.94/692.55
  6. Step 6: Final answer
    x = 627.42

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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.