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Finding the Fourth Proportional to 696.41, 961.05 and 381.67

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Solution

The fourth proportional to 696.41, 961.05 and 381.67 is: 526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.41 : 961.05 = 381.67 : x
  2. Step 2: Convert to fraction form
    696.41/961.05 = 381.67/x
  3. Step 3: Cross multiply
    696.41x = 961.05 × 381.67
  4. Step 4: Simplify right side
    696.41x = 366,805.15
  5. Step 5: Solve for x
    x = 366,805.15/696.41
  6. Step 6: Final answer
    x = 526.71

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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.