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Finding the Fourth Proportional to 447.66, 617.19 and 313.08

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Solution

The fourth proportional to 447.66, 617.19 and 313.08 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 617.19 = 313.08 : x
  2. Step 2: Convert to fraction form
    447.66/617.19 = 313.08/x
  3. Step 3: Cross multiply
    447.66x = 617.19 × 313.08
  4. Step 4: Simplify right side
    447.66x = 193,229.85
  5. Step 5: Solve for x
    x = 193,229.85/447.66
  6. Step 6: Final answer
    x = 431.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.