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Finding the Fourth Proportional to 472.70, 704.89 and 439.83

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Solution

The fourth proportional to 472.70, 704.89 and 439.83 is: 655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 704.89 = 439.83 : x
  2. Step 2: Convert to fraction form
    472.70/704.89 = 439.83/x
  3. Step 3: Cross multiply
    472.70x = 704.89 × 439.83
  4. Step 4: Simplify right side
    472.70x = 310,029.84
  5. Step 5: Solve for x
    x = 310,029.84/472.70
  6. Step 6: Final answer
    x = 655.87

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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.