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Finding the Fourth Proportional to 477.76, 715.24 and 331.20

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Solution

The fourth proportional to 477.76, 715.24 and 331.20 is: 495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 715.24 = 331.20 : x
  2. Step 2: Convert to fraction form
    477.76/715.24 = 331.20/x
  3. Step 3: Cross multiply
    477.76x = 715.24 × 331.20
  4. Step 4: Simplify right side
    477.76x = 236,887.49
  5. Step 5: Solve for x
    x = 236,887.49/477.76
  6. Step 6: Final answer
    x = 495.83

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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.