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Finding the Fourth Proportional to 662.25, 993.64 and 296.79

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Solution

The fourth proportional to 662.25, 993.64 and 296.79 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 993.64 = 296.79 : x
  2. Step 2: Convert to fraction form
    662.25/993.64 = 296.79/x
  3. Step 3: Cross multiply
    662.25x = 993.64 × 296.79
  4. Step 4: Simplify right side
    662.25x = 294,899.06
  5. Step 5: Solve for x
    x = 294,899.06/662.25
  6. Step 6: Final answer
    x = 445.30

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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.