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Finding the Fourth Proportional to 555.69, 831.78 and 311.48

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Solution

The fourth proportional to 555.69, 831.78 and 311.48 is: 466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.69 : 831.78 = 311.48 : x
  2. Step 2: Convert to fraction form
    555.69/831.78 = 311.48/x
  3. Step 3: Cross multiply
    555.69x = 831.78 × 311.48
  4. Step 4: Simplify right side
    555.69x = 259,078.68
  5. Step 5: Solve for x
    x = 259,078.68/555.69
  6. Step 6: Final answer
    x = 466.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.