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Finding the Fourth Proportional to 460.97, 692.56 and 296.75

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Solution

The fourth proportional to 460.97, 692.56 and 296.75 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.97 : 692.56 = 296.75 : x
  2. Step 2: Convert to fraction form
    460.97/692.56 = 296.75/x
  3. Step 3: Cross multiply
    460.97x = 692.56 × 296.75
  4. Step 4: Simplify right side
    460.97x = 205,517.18
  5. Step 5: Solve for x
    x = 205,517.18/460.97
  6. Step 6: Final answer
    x = 445.84

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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.