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Finding the Fourth Proportional to 885.90, 1,322.30 and 831.18

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Solution

The fourth proportional to 885.90, 1,322.30 and 831.18 is: 1,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.90 : 1,322.30 = 831.18 : x
  2. Step 2: Convert to fraction form
    885.90/1,322.30 = 831.18/x
  3. Step 3: Cross multiply
    885.90x = 1,322.30 × 831.18
  4. Step 4: Simplify right side
    885.90x = 1,099,065.16
  5. Step 5: Solve for x
    x = 1,099,065.16/885.90
  6. Step 6: Final answer
    x = 1,240.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.