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Finding the Fourth Proportional to 475.32, 709.17 and 438.96

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Solution

The fourth proportional to 475.32, 709.17 and 438.96 is: 654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.32 : 709.17 = 438.96 : x
  2. Step 2: Convert to fraction form
    475.32/709.17 = 438.96/x
  3. Step 3: Cross multiply
    475.32x = 709.17 × 438.96
  4. Step 4: Simplify right side
    475.32x = 311,297.26
  5. Step 5: Solve for x
    x = 311,297.26/475.32
  6. Step 6: Final answer
    x = 654.92

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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.