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Finding the Fourth Proportional to 493.77, 684.35 and 484.55

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Solution

The fourth proportional to 493.77, 684.35 and 484.55 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.77 : 684.35 = 484.55 : x
  2. Step 2: Convert to fraction form
    493.77/684.35 = 484.55/x
  3. Step 3: Cross multiply
    493.77x = 684.35 × 484.55
  4. Step 4: Simplify right side
    493.77x = 331,600.08
  5. Step 5: Solve for x
    x = 331,600.08/493.77
  6. Step 6: Final answer
    x = 671.56

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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.