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Finding the Fourth Proportional to 696.20, 960.70 and 381.46

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Solution

The fourth proportional to 696.20, 960.70 and 381.46 is: 526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.20 : 960.70 = 381.46 : x
  2. Step 2: Convert to fraction form
    696.20/960.70 = 381.46/x
  3. Step 3: Cross multiply
    696.20x = 960.70 × 381.46
  4. Step 4: Simplify right side
    696.20x = 366,468.62
  5. Step 5: Solve for x
    x = 366,468.62/696.20
  6. Step 6: Final answer
    x = 526.38

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Half scale
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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.