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Finding the Fourth Proportional to 477.28, 715.11 and 324.19

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Solution

The fourth proportional to 477.28, 715.11 and 324.19 is: 485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 715.11 = 324.19 : x
  2. Step 2: Convert to fraction form
    477.28/715.11 = 324.19/x
  3. Step 3: Cross multiply
    477.28x = 715.11 × 324.19
  4. Step 4: Simplify right side
    477.28x = 231,831.51
  5. Step 5: Solve for x
    x = 231,831.51/477.28
  6. Step 6: Final answer
    x = 485.73

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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.