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Finding the Fourth Proportional to 696.96, 961.52 and 448.24

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Solution

The fourth proportional to 696.96, 961.52 and 448.24 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 961.52 = 448.24 : x
  2. Step 2: Convert to fraction form
    696.96/961.52 = 448.24/x
  3. Step 3: Cross multiply
    696.96x = 961.52 × 448.24
  4. Step 4: Simplify right side
    696.96x = 430,991.72
  5. Step 5: Solve for x
    x = 430,991.72/696.96
  6. Step 6: Final answer
    x = 618.39

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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.