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Finding the Fourth Proportional to 696.64, 961.38 and 434.68

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Solution

The fourth proportional to 696.64, 961.38 and 434.68 is: 599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 961.38 = 434.68 : x
  2. Step 2: Convert to fraction form
    696.64/961.38 = 434.68/x
  3. Step 3: Cross multiply
    696.64x = 961.38 × 434.68
  4. Step 4: Simplify right side
    696.64x = 417,892.66
  5. Step 5: Solve for x
    x = 417,892.66/696.64
  6. Step 6: Final answer
    x = 599.87

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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.