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Finding the Fourth Proportional to 696.32, 961.56 and 448.22

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Solution

The fourth proportional to 696.32, 961.56 and 448.22 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 961.56 = 448.22 : x
  2. Step 2: Convert to fraction form
    696.32/961.56 = 448.22/x
  3. Step 3: Cross multiply
    696.32x = 961.56 × 448.22
  4. Step 4: Simplify right side
    696.32x = 430,990.42
  5. Step 5: Solve for x
    x = 430,990.42/696.32
  6. Step 6: Final answer
    x = 618.95

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Half scale
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Double scale
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Similar ratio
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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.