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Finding the Fourth Proportional to 472.59, 704.10 and 449.33

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Solution

The fourth proportional to 472.59, 704.10 and 449.33 is: 669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.59 : 704.10 = 449.33 : x
  2. Step 2: Convert to fraction form
    472.59/704.10 = 449.33/x
  3. Step 3: Cross multiply
    472.59x = 704.10 × 449.33
  4. Step 4: Simplify right side
    472.59x = 316,369.73
  5. Step 5: Solve for x
    x = 316,369.73/472.59
  6. Step 6: Final answer
    x = 669.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.