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Finding the Fourth Proportional to 696.68, 961.40 and 381.93

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Solution

The fourth proportional to 696.68, 961.40 and 381.93 is: 527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.68 : 961.40 = 381.93 : x
  2. Step 2: Convert to fraction form
    696.68/961.40 = 381.93/x
  3. Step 3: Cross multiply
    696.68x = 961.40 × 381.93
  4. Step 4: Simplify right side
    696.68x = 367,184.85
  5. Step 5: Solve for x
    x = 367,184.85/696.68
  6. Step 6: Final answer
    x = 527.05

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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.