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Finding the Fourth Proportional to 831.67, 1,247.63 and 254.47

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Solution

The fourth proportional to 831.67, 1,247.63 and 254.47 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.67 : 1,247.63 = 254.47 : x
  2. Step 2: Convert to fraction form
    831.67/1,247.63 = 254.47/x
  3. Step 3: Cross multiply
    831.67x = 1,247.63 × 254.47
  4. Step 4: Simplify right side
    831.67x = 317,484.41
  5. Step 5: Solve for x
    x = 317,484.41/831.67
  6. Step 6: Final answer
    x = 381.74

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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.