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Finding the Fourth Proportional to 692.26, 1,037.05 and 460.47

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Solution

The fourth proportional to 692.26, 1,037.05 and 460.47 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.26 : 1,037.05 = 460.47 : x
  2. Step 2: Convert to fraction form
    692.26/1,037.05 = 460.47/x
  3. Step 3: Cross multiply
    692.26x = 1,037.05 × 460.47
  4. Step 4: Simplify right side
    692.26x = 477,530.41
  5. Step 5: Solve for x
    x = 477,530.41/692.26
  6. Step 6: Final answer
    x = 689.81

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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.