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Finding the Fourth Proportional to 641.82, 966.49 and 460.49

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Solution

The fourth proportional to 641.82, 966.49 and 460.49 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.82 : 966.49 = 460.49 : x
  2. Step 2: Convert to fraction form
    641.82/966.49 = 460.49/x
  3. Step 3: Cross multiply
    641.82x = 966.49 × 460.49
  4. Step 4: Simplify right side
    641.82x = 445,056.23
  5. Step 5: Solve for x
    x = 445,056.23/641.82
  6. Step 6: Final answer
    x = 693.42

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.