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Finding the Fourth Proportional to 696.76, 961.20 and 476.02

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Solution

The fourth proportional to 696.76, 961.20 and 476.02 is: 656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.76 : 961.20 = 476.02 : x
  2. Step 2: Convert to fraction form
    696.76/961.20 = 476.02/x
  3. Step 3: Cross multiply
    696.76x = 961.20 × 476.02
  4. Step 4: Simplify right side
    696.76x = 457,550.42
  5. Step 5: Solve for x
    x = 457,550.42/696.76
  6. Step 6: Final answer
    x = 656.68

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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.