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Finding the Fourth Proportional to 696.59, 961.31 and 381.86

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Solution

The fourth proportional to 696.59, 961.31 and 381.86 is: 526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.59 : 961.31 = 381.86 : x
  2. Step 2: Convert to fraction form
    696.59/961.31 = 381.86/x
  3. Step 3: Cross multiply
    696.59x = 961.31 × 381.86
  4. Step 4: Simplify right side
    696.59x = 367,079.12
  5. Step 5: Solve for x
    x = 367,079.12/696.59
  6. Step 6: Final answer
    x = 526.97

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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.