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Finding the Fourth Proportional to 475.05, 709.08 and 440.31

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Solution

The fourth proportional to 475.05, 709.08 and 440.31 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.05 : 709.08 = 440.31 : x
  2. Step 2: Convert to fraction form
    475.05/709.08 = 440.31/x
  3. Step 3: Cross multiply
    475.05x = 709.08 × 440.31
  4. Step 4: Simplify right side
    475.05x = 312,215.01
  5. Step 5: Solve for x
    x = 312,215.01/475.05
  6. Step 6: Final answer
    x = 657.23

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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.