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Finding the Fourth Proportional to 477.28, 663.16 and 472.20

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Solution

The fourth proportional to 477.28, 663.16 and 472.20 is: 656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 663.16 = 472.20 : x
  2. Step 2: Convert to fraction form
    477.28/663.16 = 472.20/x
  3. Step 3: Cross multiply
    477.28x = 663.16 × 472.20
  4. Step 4: Simplify right side
    477.28x = 313,144.15
  5. Step 5: Solve for x
    x = 313,144.15/477.28
  6. Step 6: Final answer
    x = 656.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.