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Finding the Fourth Proportional to 696.47, 961.16 and 397.74

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Solution

The fourth proportional to 696.47, 961.16 and 397.74 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.47 : 961.16 = 397.74 : x
  2. Step 2: Convert to fraction form
    696.47/961.16 = 397.74/x
  3. Step 3: Cross multiply
    696.47x = 961.16 × 397.74
  4. Step 4: Simplify right side
    696.47x = 382,296.38
  5. Step 5: Solve for x
    x = 382,296.38/696.47
  6. Step 6: Final answer
    x = 548.91

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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.