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Finding the Fourth Proportional to 460.80, 692.70 and 401.40

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Solution

The fourth proportional to 460.80, 692.70 and 401.40 is: 603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 692.70 = 401.40 : x
  2. Step 2: Convert to fraction form
    460.80/692.70 = 401.40/x
  3. Step 3: Cross multiply
    460.80x = 692.70 × 401.40
  4. Step 4: Simplify right side
    460.80x = 278,049.78
  5. Step 5: Solve for x
    x = 278,049.78/460.80
  6. Step 6: Final answer
    x = 603.41

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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.