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Finding the Fourth Proportional to 696.67, 961.35 and 381.87

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Solution

The fourth proportional to 696.67, 961.35 and 381.87 is: 526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.67 : 961.35 = 381.87 : x
  2. Step 2: Convert to fraction form
    696.67/961.35 = 381.87/x
  3. Step 3: Cross multiply
    696.67x = 961.35 × 381.87
  4. Step 4: Simplify right side
    696.67x = 367,109.29
  5. Step 5: Solve for x
    x = 367,109.29/696.67
  6. Step 6: Final answer
    x = 526.95

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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.