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Finding the Fourth Proportional to 460.58, 692.22 and 426.63

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Solution

The fourth proportional to 460.58, 692.22 and 426.63 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 692.22 = 426.63 : x
  2. Step 2: Convert to fraction form
    460.58/692.22 = 426.63/x
  3. Step 3: Cross multiply
    460.58x = 692.22 × 426.63
  4. Step 4: Simplify right side
    460.58x = 295,321.82
  5. Step 5: Solve for x
    x = 295,321.82/460.58
  6. Step 6: Final answer
    x = 641.20

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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.