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Finding the Fourth Proportional to 601.81, 831.39 and 406.19

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Solution

The fourth proportional to 601.81, 831.39 and 406.19 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.81 : 831.39 = 406.19 : x
  2. Step 2: Convert to fraction form
    601.81/831.39 = 406.19/x
  3. Step 3: Cross multiply
    601.81x = 831.39 × 406.19
  4. Step 4: Simplify right side
    601.81x = 337,702.30
  5. Step 5: Solve for x
    x = 337,702.30/601.81
  6. Step 6: Final answer
    x = 561.14

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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.