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Finding the Fourth Proportional to 664.81, 996.42 and 372.14

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Solution

The fourth proportional to 664.81, 996.42 and 372.14 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.81 : 996.42 = 372.14 : x
  2. Step 2: Convert to fraction form
    664.81/996.42 = 372.14/x
  3. Step 3: Cross multiply
    664.81x = 996.42 × 372.14
  4. Step 4: Simplify right side
    664.81x = 370,810.23
  5. Step 5: Solve for x
    x = 370,810.23/664.81
  6. Step 6: Final answer
    x = 557.77

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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.