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Finding the Fourth Proportional to 696.76, 961.38 and 417.16

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Solution

The fourth proportional to 696.76, 961.38 and 417.16 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.76 : 961.38 = 417.16 : x
  2. Step 2: Convert to fraction form
    696.76/961.38 = 417.16/x
  3. Step 3: Cross multiply
    696.76x = 961.38 × 417.16
  4. Step 4: Simplify right side
    696.76x = 401,049.28
  5. Step 5: Solve for x
    x = 401,049.28/696.76
  6. Step 6: Final answer
    x = 575.59

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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.