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Finding the Fourth Proportional to 447.45, 617.79 and 307.86

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Solution

The fourth proportional to 447.45, 617.79 and 307.86 is: 425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.45 : 617.79 = 307.86 : x
  2. Step 2: Convert to fraction form
    447.45/617.79 = 307.86/x
  3. Step 3: Cross multiply
    447.45x = 617.79 × 307.86
  4. Step 4: Simplify right side
    447.45x = 190,192.83
  5. Step 5: Solve for x
    x = 190,192.83/447.45
  6. Step 6: Final answer
    x = 425.06

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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.