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Finding the Fourth Proportional to 447.84, 675.04 and 429.31

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Solution

The fourth proportional to 447.84, 675.04 and 429.31 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 675.04 = 429.31 : x
  2. Step 2: Convert to fraction form
    447.84/675.04 = 429.31/x
  3. Step 3: Cross multiply
    447.84x = 675.04 × 429.31
  4. Step 4: Simplify right side
    447.84x = 289,801.42
  5. Step 5: Solve for x
    x = 289,801.42/447.84
  6. Step 6: Final answer
    x = 647.11

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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.