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Finding the Fourth Proportional to 831.43, 1,249.43 and 777.25

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Solution

The fourth proportional to 831.43, 1,249.43 and 777.25 is: 1,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.43 : 1,249.43 = 777.25 : x
  2. Step 2: Convert to fraction form
    831.43/1,249.43 = 777.25/x
  3. Step 3: Cross multiply
    831.43x = 1,249.43 × 777.25
  4. Step 4: Simplify right side
    831.43x = 971,115.58
  5. Step 5: Solve for x
    x = 971,115.58/831.43
  6. Step 6: Final answer
    x = 1,168.01

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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.