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Finding the Fourth Proportional to 461.75, 691.94 and 364.49

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Solution

The fourth proportional to 461.75, 691.94 and 364.49 is: 546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 691.94 = 364.49 : x
  2. Step 2: Convert to fraction form
    461.75/691.94 = 364.49/x
  3. Step 3: Cross multiply
    461.75x = 691.94 × 364.49
  4. Step 4: Simplify right side
    461.75x = 252,203.39
  5. Step 5: Solve for x
    x = 252,203.39/461.75
  6. Step 6: Final answer
    x = 546.20

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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.