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Finding the Fourth Proportional to 661.18, 992.13 and 397.83

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Solution

The fourth proportional to 661.18, 992.13 and 397.83 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.18 : 992.13 = 397.83 : x
  2. Step 2: Convert to fraction form
    661.18/992.13 = 397.83/x
  3. Step 3: Cross multiply
    661.18x = 992.13 × 397.83
  4. Step 4: Simplify right side
    661.18x = 394,699.08
  5. Step 5: Solve for x
    x = 394,699.08/661.18
  6. Step 6: Final answer
    x = 596.96

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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.