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Finding the Fourth Proportional to 493.56, 684.05 and 484.34

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Solution

The fourth proportional to 493.56, 684.05 and 484.34 is: 671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.56 : 684.05 = 484.34 : x
  2. Step 2: Convert to fraction form
    493.56/684.05 = 484.34/x
  3. Step 3: Cross multiply
    493.56x = 684.05 × 484.34
  4. Step 4: Simplify right side
    493.56x = 331,306.94
  5. Step 5: Solve for x
    x = 331,306.94/493.56
  6. Step 6: Final answer
    x = 671.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.