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Finding the Fourth Proportional to 475.43, 709.64 and 440.69

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Solution

The fourth proportional to 475.43, 709.64 and 440.69 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.43 : 709.64 = 440.69 : x
  2. Step 2: Convert to fraction form
    475.43/709.64 = 440.69/x
  3. Step 3: Cross multiply
    475.43x = 709.64 × 440.69
  4. Step 4: Simplify right side
    475.43x = 312,725.50
  5. Step 5: Solve for x
    x = 312,725.50/475.43
  6. Step 6: Final answer
    x = 657.78

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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.