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Finding the Fourth Proportional to 696.51, 961.14 and 381.78

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Solution

The fourth proportional to 696.51, 961.14 and 381.78 is: 526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.51 : 961.14 = 381.78 : x
  2. Step 2: Convert to fraction form
    696.51/961.14 = 381.78/x
  3. Step 3: Cross multiply
    696.51x = 961.14 × 381.78
  4. Step 4: Simplify right side
    696.51x = 366,944.03
  5. Step 5: Solve for x
    x = 366,944.03/696.51
  6. Step 6: Final answer
    x = 526.83

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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.