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Finding the Fourth Proportional to 665.14, 998.16 and 421.42

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Solution

The fourth proportional to 665.14, 998.16 and 421.42 is: 632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.14 : 998.16 = 421.42 : x
  2. Step 2: Convert to fraction form
    665.14/998.16 = 421.42/x
  3. Step 3: Cross multiply
    665.14x = 998.16 × 421.42
  4. Step 4: Simplify right side
    665.14x = 420,644.59
  5. Step 5: Solve for x
    x = 420,644.59/665.14
  6. Step 6: Final answer
    x = 632.42

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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.