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Finding the Fourth Proportional to 696.76, 961.97 and 448.51

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Solution

The fourth proportional to 696.76, 961.97 and 448.51 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.76 : 961.97 = 448.51 : x
  2. Step 2: Convert to fraction form
    696.76/961.97 = 448.51/x
  3. Step 3: Cross multiply
    696.76x = 961.97 × 448.51
  4. Step 4: Simplify right side
    696.76x = 431,450.92
  5. Step 5: Solve for x
    x = 431,450.92/696.76
  6. Step 6: Final answer
    x = 619.22

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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.