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Finding the Fourth Proportional to 483.70, 721.82 and 431.79

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Solution

The fourth proportional to 483.70, 721.82 and 431.79 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.70 : 721.82 = 431.79 : x
  2. Step 2: Convert to fraction form
    483.70/721.82 = 431.79/x
  3. Step 3: Cross multiply
    483.70x = 721.82 × 431.79
  4. Step 4: Simplify right side
    483.70x = 311,676.43
  5. Step 5: Solve for x
    x = 311,676.43/483.70
  6. Step 6: Final answer
    x = 644.36

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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.