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Finding the Fourth Proportional to 460.26, 634.64 and 376.11

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Solution

The fourth proportional to 460.26, 634.64 and 376.11 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 634.64 = 376.11 : x
  2. Step 2: Convert to fraction form
    460.26/634.64 = 376.11/x
  3. Step 3: Cross multiply
    460.26x = 634.64 × 376.11
  4. Step 4: Simplify right side
    460.26x = 238,692.57
  5. Step 5: Solve for x
    x = 238,692.57/460.26
  6. Step 6: Final answer
    x = 518.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.