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Finding the Fourth Proportional to 662.14, 991.89 and 402

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Solution

The fourth proportional to 662.14, 991.89 and 402 is: 602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 991.89 = 402 : x
  2. Step 2: Convert to fraction form
    662.14/991.89 = 402/x
  3. Step 3: Cross multiply
    662.14x = 991.89 × 402
  4. Step 4: Simplify right side
    662.14x = 398,739.78
  5. Step 5: Solve for x
    x = 398,739.78/662.14
  6. Step 6: Final answer
    x = 602.20

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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.