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Finding the Fourth Proportional to 641.96, 886.32 and 494.36

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Solution

The fourth proportional to 641.96, 886.32 and 494.36 is: 682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 886.32 = 494.36 : x
  2. Step 2: Convert to fraction form
    641.96/886.32 = 494.36/x
  3. Step 3: Cross multiply
    641.96x = 886.32 × 494.36
  4. Step 4: Simplify right side
    641.96x = 438,156.72
  5. Step 5: Solve for x
    x = 438,156.72/641.96
  6. Step 6: Final answer
    x = 682.53

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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.