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Finding the Fourth Proportional to 504.66, 694.89 and 447.82

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Solution

The fourth proportional to 504.66, 694.89 and 447.82 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 694.89 = 447.82 : x
  2. Step 2: Convert to fraction form
    504.66/694.89 = 447.82/x
  3. Step 3: Cross multiply
    504.66x = 694.89 × 447.82
  4. Step 4: Simplify right side
    504.66x = 311,185.64
  5. Step 5: Solve for x
    x = 311,185.64/504.66
  6. Step 6: Final answer
    x = 616.63

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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.