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Finding the Fourth Proportional to 664.34, 988.14 and 662.12

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Solution

The fourth proportional to 664.34, 988.14 and 662.12 is: 984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 988.14 = 662.12 : x
  2. Step 2: Convert to fraction form
    664.34/988.14 = 662.12/x
  3. Step 3: Cross multiply
    664.34x = 988.14 × 662.12
  4. Step 4: Simplify right side
    664.34x = 654,267.26
  5. Step 5: Solve for x
    x = 654,267.26/664.34
  6. Step 6: Final answer
    x = 984.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.