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Finding the Fourth Proportional to 696.68, 961.44 and 386.18

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Solution

The fourth proportional to 696.68, 961.44 and 386.18 is: 532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.68 : 961.44 = 386.18 : x
  2. Step 2: Convert to fraction form
    696.68/961.44 = 386.18/x
  3. Step 3: Cross multiply
    696.68x = 961.44 × 386.18
  4. Step 4: Simplify right side
    696.68x = 371,288.90
  5. Step 5: Solve for x
    x = 371,288.90/696.68
  6. Step 6: Final answer
    x = 532.94

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Double scale
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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.