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Finding the Fourth Proportional to 831.86, 1,246.91 and 312.24

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Solution

The fourth proportional to 831.86, 1,246.91 and 312.24 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.86 : 1,246.91 = 312.24 : x
  2. Step 2: Convert to fraction form
    831.86/1,246.91 = 312.24/x
  3. Step 3: Cross multiply
    831.86x = 1,246.91 × 312.24
  4. Step 4: Simplify right side
    831.86x = 389,333.62
  5. Step 5: Solve for x
    x = 389,333.62/831.86
  6. Step 6: Final answer
    x = 468.03

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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.