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Finding the Fourth Proportional to 692.10, 1,037.25 and 280.75

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Solution

The fourth proportional to 692.10, 1,037.25 and 280.75 is: 420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,037.25 = 280.75 : x
  2. Step 2: Convert to fraction form
    692.10/1,037.25 = 280.75/x
  3. Step 3: Cross multiply
    692.10x = 1,037.25 × 280.75
  4. Step 4: Simplify right side
    692.10x = 291,206.53
  5. Step 5: Solve for x
    x = 291,206.53/692.10
  6. Step 6: Final answer
    x = 420.76

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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.