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Finding the Fourth Proportional to 662.25, 914.68 and 440.82

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Solution

The fourth proportional to 662.25, 914.68 and 440.82 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 914.68 = 440.82 : x
  2. Step 2: Convert to fraction form
    662.25/914.68 = 440.82/x
  3. Step 3: Cross multiply
    662.25x = 914.68 × 440.82
  4. Step 4: Simplify right side
    662.25x = 403,209.24
  5. Step 5: Solve for x
    x = 403,209.24/662.25
  6. Step 6: Final answer
    x = 608.85

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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.