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Finding the Fourth Proportional to 661.74, 992.61 and 389.73

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Solution

The fourth proportional to 661.74, 992.61 and 389.73 is: 584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.74 : 992.61 = 389.73 : x
  2. Step 2: Convert to fraction form
    661.74/992.61 = 389.73/x
  3. Step 3: Cross multiply
    661.74x = 992.61 × 389.73
  4. Step 4: Simplify right side
    661.74x = 386,849.90
  5. Step 5: Solve for x
    x = 386,849.90/661.74
  6. Step 6: Final answer
    x = 584.60

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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.