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Finding the Fourth Proportional to 642.33, 886.84 and 494.73

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Solution

The fourth proportional to 642.33, 886.84 and 494.73 is: 683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 886.84 = 494.73 : x
  2. Step 2: Convert to fraction form
    642.33/886.84 = 494.73/x
  3. Step 3: Cross multiply
    642.33x = 886.84 × 494.73
  4. Step 4: Simplify right side
    642.33x = 438,745.12
  5. Step 5: Solve for x
    x = 438,745.12/642.33
  6. Step 6: Final answer
    x = 683.05

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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.