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Finding the Fourth Proportional to 461.50, 689.74 and 396.90

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Solution

The fourth proportional to 461.50, 689.74 and 396.90 is: 593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 689.74 = 396.90 : x
  2. Step 2: Convert to fraction form
    461.50/689.74 = 396.90/x
  3. Step 3: Cross multiply
    461.50x = 689.74 × 396.90
  4. Step 4: Simplify right side
    461.50x = 273,757.93
  5. Step 5: Solve for x
    x = 273,757.93/461.50
  6. Step 6: Final answer
    x = 593.19

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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.