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Finding the Fourth Proportional to 696.76, 961.78 and 434.68

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Solution

The fourth proportional to 696.76, 961.78 and 434.68 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.76 : 961.78 = 434.68 : x
  2. Step 2: Convert to fraction form
    696.76/961.78 = 434.68/x
  3. Step 3: Cross multiply
    696.76x = 961.78 × 434.68
  4. Step 4: Simplify right side
    696.76x = 418,066.53
  5. Step 5: Solve for x
    x = 418,066.53/696.76
  6. Step 6: Final answer
    x = 600.02

Related Problems

Find fourth proportional to 348.38, 480.89 and 217.34
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.