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Finding the Fourth Proportional to 661.93, 990.92 and 401.15

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Solution

The fourth proportional to 661.93, 990.92 and 401.15 is: 600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.93 : 990.92 = 401.15 : x
  2. Step 2: Convert to fraction form
    661.93/990.92 = 401.15/x
  3. Step 3: Cross multiply
    661.93x = 990.92 × 401.15
  4. Step 4: Simplify right side
    661.93x = 397,503.61
  5. Step 5: Solve for x
    x = 397,503.61/661.93
  6. Step 6: Final answer
    x = 600.52

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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.