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Finding the Fourth Proportional to 696.62, 961.34 and 386.12

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Solution

The fourth proportional to 696.62, 961.34 and 386.12 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 961.34 = 386.12 : x
  2. Step 2: Convert to fraction form
    696.62/961.34 = 386.12/x
  3. Step 3: Cross multiply
    696.62x = 961.34 × 386.12
  4. Step 4: Simplify right side
    696.62x = 371,192.60
  5. Step 5: Solve for x
    x = 371,192.60/696.62
  6. Step 6: Final answer
    x = 532.85

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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.