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Finding the Fourth Proportional to 831.12, 1,244.52 and 777.12

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Solution

The fourth proportional to 831.12, 1,244.52 and 777.12 is: 1,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.12 : 1,244.52 = 777.12 : x
  2. Step 2: Convert to fraction form
    831.12/1,244.52 = 777.12/x
  3. Step 3: Cross multiply
    831.12x = 1,244.52 × 777.12
  4. Step 4: Simplify right side
    831.12x = 967,141.38
  5. Step 5: Solve for x
    x = 967,141.38/831.12
  6. Step 6: Final answer
    x = 1,163.66

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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.