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Finding the Fourth Proportional to 831.54, 1,247.47 and 318.50

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Solution

The fourth proportional to 831.54, 1,247.47 and 318.50 is: 477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.54 : 1,247.47 = 318.50 : x
  2. Step 2: Convert to fraction form
    831.54/1,247.47 = 318.50/x
  3. Step 3: Cross multiply
    831.54x = 1,247.47 × 318.50
  4. Step 4: Simplify right side
    831.54x = 397,319.20
  5. Step 5: Solve for x
    x = 397,319.20/831.54
  6. Step 6: Final answer
    x = 477.81

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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.