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Finding the Fourth Proportional to 831.32, 1,138.90 and 800.16

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Solution

The fourth proportional to 831.32, 1,138.90 and 800.16 is: 1,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,138.90 = 800.16 : x
  2. Step 2: Convert to fraction form
    831.32/1,138.90 = 800.16/x
  3. Step 3: Cross multiply
    831.32x = 1,138.90 × 800.16
  4. Step 4: Simplify right side
    831.32x = 911,297.93
  5. Step 5: Solve for x
    x = 911,297.93/831.32
  6. Step 6: Final answer
    x = 1,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.