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Finding the Fourth Proportional to 1,218.35, 1,825.36 and 831.71

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Solution

The fourth proportional to 1,218.35, 1,825.36 and 831.71 is: 1,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.35 : 1,825.36 = 831.71 : x
  2. Step 2: Convert to fraction form
    1,218.35/1,825.36 = 831.71/x
  3. Step 3: Cross multiply
    1,218.35x = 1,825.36 × 831.71
  4. Step 4: Simplify right side
    1,218.35x = 1,518,170.17
  5. Step 5: Solve for x
    x = 1,518,170.17/1,218.35
  6. Step 6: Final answer
    x = 1,246.09

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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.