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Finding the Fourth Proportional to 447.90, 672.21 and 345.84

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Solution

The fourth proportional to 447.90, 672.21 and 345.84 is: 519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.90 : 672.21 = 345.84 : x
  2. Step 2: Convert to fraction form
    447.90/672.21 = 345.84/x
  3. Step 3: Cross multiply
    447.90x = 672.21 × 345.84
  4. Step 4: Simplify right side
    447.90x = 232,477.11
  5. Step 5: Solve for x
    x = 232,477.11/447.90
  6. Step 6: Final answer
    x = 519.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.