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Finding the Fourth Proportional to 475.56, 709.65 and 471.96

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Solution

The fourth proportional to 475.56, 709.65 and 471.96 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.56 : 709.65 = 471.96 : x
  2. Step 2: Convert to fraction form
    475.56/709.65 = 471.96/x
  3. Step 3: Cross multiply
    475.56x = 709.65 × 471.96
  4. Step 4: Simplify right side
    475.56x = 334,926.41
  5. Step 5: Solve for x
    x = 334,926.41/475.56
  6. Step 6: Final answer
    x = 704.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.