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Finding the Fourth Proportional to 555.96, 831.56 and 324.27

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Solution

The fourth proportional to 555.96, 831.56 and 324.27 is: 485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 831.56 = 324.27 : x
  2. Step 2: Convert to fraction form
    555.96/831.56 = 324.27/x
  3. Step 3: Cross multiply
    555.96x = 831.56 × 324.27
  4. Step 4: Simplify right side
    555.96x = 269,648.34
  5. Step 5: Solve for x
    x = 269,648.34/555.96
  6. Step 6: Final answer
    x = 485.01

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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.