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Finding the Fourth Proportional to 473.31, 709.05 and 396.76

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Solution

The fourth proportional to 473.31, 709.05 and 396.76 is: 594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 709.05 = 396.76 : x
  2. Step 2: Convert to fraction form
    473.31/709.05 = 396.76/x
  3. Step 3: Cross multiply
    473.31x = 709.05 × 396.76
  4. Step 4: Simplify right side
    473.31x = 281,322.68
  5. Step 5: Solve for x
    x = 281,322.68/473.31
  6. Step 6: Final answer
    x = 594.37

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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.