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Finding the Fourth Proportional to 447.56, 617.82 and 307.88

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Solution

The fourth proportional to 447.56, 617.82 and 307.88 is: 425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.56 : 617.82 = 307.88 : x
  2. Step 2: Convert to fraction form
    447.56/617.82 = 307.88/x
  3. Step 3: Cross multiply
    447.56x = 617.82 × 307.88
  4. Step 4: Simplify right side
    447.56x = 190,214.42
  5. Step 5: Solve for x
    x = 190,214.42/447.56
  6. Step 6: Final answer
    x = 425.00

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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.