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Finding the Fourth Proportional to 838.17, 1,257.26 and 831.69

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Solution

The fourth proportional to 838.17, 1,257.26 and 831.69 is: 1,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,257.26 = 831.69 : x
  2. Step 2: Convert to fraction form
    838.17/1,257.26 = 831.69/x
  3. Step 3: Cross multiply
    838.17x = 1,257.26 × 831.69
  4. Step 4: Simplify right side
    838.17x = 1,045,646.41
  5. Step 5: Solve for x
    x = 1,045,646.41/838.17
  6. Step 6: Final answer
    x = 1,247.54

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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.