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Finding the Fourth Proportional to 471.85, 709.14 and 439.04

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Solution

The fourth proportional to 471.85, 709.14 and 439.04 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.85 : 709.14 = 439.04 : x
  2. Step 2: Convert to fraction form
    471.85/709.14 = 439.04/x
  3. Step 3: Cross multiply
    471.85x = 709.14 × 439.04
  4. Step 4: Simplify right side
    471.85x = 311,340.83
  5. Step 5: Solve for x
    x = 311,340.83/471.85
  6. Step 6: Final answer
    x = 659.83

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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.