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Finding the Fourth Proportional to 692.15, 1,037.13 and 435.11

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Solution

The fourth proportional to 692.15, 1,037.13 and 435.11 is: 651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.15 : 1,037.13 = 435.11 : x
  2. Step 2: Convert to fraction form
    692.15/1,037.13 = 435.11/x
  3. Step 3: Cross multiply
    692.15x = 1,037.13 × 435.11
  4. Step 4: Simplify right side
    692.15x = 451,260.45
  5. Step 5: Solve for x
    x = 451,260.45/692.15
  6. Step 6: Final answer
    x = 651.97

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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.