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Finding the Fourth Proportional to 831.81, 1,247.66 and 344.51

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Solution

The fourth proportional to 831.81, 1,247.66 and 344.51 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.81 : 1,247.66 = 344.51 : x
  2. Step 2: Convert to fraction form
    831.81/1,247.66 = 344.51/x
  3. Step 3: Cross multiply
    831.81x = 1,247.66 × 344.51
  4. Step 4: Simplify right side
    831.81x = 429,831.35
  5. Step 5: Solve for x
    x = 429,831.35/831.81
  6. Step 6: Final answer
    x = 516.74

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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.