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Finding the Fourth Proportional to 831.72, 1,247.86 and 369.82

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Solution

The fourth proportional to 831.72, 1,247.86 and 369.82 is: 554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,247.86 = 369.82 : x
  2. Step 2: Convert to fraction form
    831.72/1,247.86 = 369.82/x
  3. Step 3: Cross multiply
    831.72x = 1,247.86 × 369.82
  4. Step 4: Simplify right side
    831.72x = 461,477.35
  5. Step 5: Solve for x
    x = 461,477.35/831.72
  6. Step 6: Final answer
    x = 554.85

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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.