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Finding the Fourth Proportional to 696.66, 961.42 and 381.91

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Solution

The fourth proportional to 696.66, 961.42 and 381.91 is: 527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.66 : 961.42 = 381.91 : x
  2. Step 2: Convert to fraction form
    696.66/961.42 = 381.91/x
  3. Step 3: Cross multiply
    696.66x = 961.42 × 381.91
  4. Step 4: Simplify right side
    696.66x = 367,172.55
  5. Step 5: Solve for x
    x = 367,172.55/696.66
  6. Step 6: Final answer
    x = 527.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.