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Finding the Fourth Proportional to 460.85, 694.46 and 381.47

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Solution

The fourth proportional to 460.85, 694.46 and 381.47 is: 574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.85 : 694.46 = 381.47 : x
  2. Step 2: Convert to fraction form
    460.85/694.46 = 381.47/x
  3. Step 3: Cross multiply
    460.85x = 694.46 × 381.47
  4. Step 4: Simplify right side
    460.85x = 264,910.28
  5. Step 5: Solve for x
    x = 264,910.28/460.85
  6. Step 6: Final answer
    x = 574.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.