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Finding the Fourth Proportional to 664.20, 994.19 and 498.69

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Solution

The fourth proportional to 664.20, 994.19 and 498.69 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 994.19 = 498.69 : x
  2. Step 2: Convert to fraction form
    664.20/994.19 = 498.69/x
  3. Step 3: Cross multiply
    664.20x = 994.19 × 498.69
  4. Step 4: Simplify right side
    664.20x = 495,790.12
  5. Step 5: Solve for x
    x = 495,790.12/664.20
  6. Step 6: Final answer
    x = 746.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.