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Finding the Fourth Proportional to 696.22, 961.03 and 463.42

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Solution

The fourth proportional to 696.22, 961.03 and 463.42 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.22 : 961.03 = 463.42 : x
  2. Step 2: Convert to fraction form
    696.22/961.03 = 463.42/x
  3. Step 3: Cross multiply
    696.22x = 961.03 × 463.42
  4. Step 4: Simplify right side
    696.22x = 445,360.52
  5. Step 5: Solve for x
    x = 445,360.52/696.22
  6. Step 6: Final answer
    x = 639.68

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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.