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Finding the Fourth Proportional to 696.45, 961.09 and 381.71

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Solution

The fourth proportional to 696.45, 961.09 and 381.71 is: 526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.45 : 961.09 = 381.71 : x
  2. Step 2: Convert to fraction form
    696.45/961.09 = 381.71/x
  3. Step 3: Cross multiply
    696.45x = 961.09 × 381.71
  4. Step 4: Simplify right side
    696.45x = 366,856.71
  5. Step 5: Solve for x
    x = 366,856.71/696.45
  6. Step 6: Final answer
    x = 526.75

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1.5x scale

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.