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Finding the Fourth Proportional to 692.10, 1,037.61 and 475.02

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Solution

The fourth proportional to 692.10, 1,037.61 and 475.02 is: 712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,037.61 = 475.02 : x
  2. Step 2: Convert to fraction form
    692.10/1,037.61 = 475.02/x
  3. Step 3: Cross multiply
    692.10x = 1,037.61 × 475.02
  4. Step 4: Simplify right side
    692.10x = 492,885.50
  5. Step 5: Solve for x
    x = 492,885.50/692.10
  6. Step 6: Final answer
    x = 712.16

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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.