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Finding the Fourth Proportional to 477.28, 713.76 and 471.34

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Solution

The fourth proportional to 477.28, 713.76 and 471.34 is: 704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 713.76 = 471.34 : x
  2. Step 2: Convert to fraction form
    477.28/713.76 = 471.34/x
  3. Step 3: Cross multiply
    477.28x = 713.76 × 471.34
  4. Step 4: Simplify right side
    477.28x = 336,423.64
  5. Step 5: Solve for x
    x = 336,423.64/477.28
  6. Step 6: Final answer
    x = 704.88

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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.