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Finding the Fourth Proportional to 447.66, 676.26 and 442.98

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Solution

The fourth proportional to 447.66, 676.26 and 442.98 is: 669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 676.26 = 442.98 : x
  2. Step 2: Convert to fraction form
    447.66/676.26 = 442.98/x
  3. Step 3: Cross multiply
    447.66x = 676.26 × 442.98
  4. Step 4: Simplify right side
    447.66x = 299,569.65
  5. Step 5: Solve for x
    x = 299,569.65/447.66
  6. Step 6: Final answer
    x = 669.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.