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Finding the Fourth Proportional to 601.99, 831.03 and 353.23

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Solution

The fourth proportional to 601.99, 831.03 and 353.23 is: 487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.99 : 831.03 = 353.23 : x
  2. Step 2: Convert to fraction form
    601.99/831.03 = 353.23/x
  3. Step 3: Cross multiply
    601.99x = 831.03 × 353.23
  4. Step 4: Simplify right side
    601.99x = 293,544.73
  5. Step 5: Solve for x
    x = 293,544.73/601.99
  6. Step 6: Final answer
    x = 487.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.