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Finding the Fourth Proportional to 494.32, 679.10 and 442.54

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Solution

The fourth proportional to 494.32, 679.10 and 442.54 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.32 : 679.10 = 442.54 : x
  2. Step 2: Convert to fraction form
    494.32/679.10 = 442.54/x
  3. Step 3: Cross multiply
    494.32x = 679.10 × 442.54
  4. Step 4: Simplify right side
    494.32x = 300,525.52
  5. Step 5: Solve for x
    x = 300,525.52/494.32
  6. Step 6: Final answer
    x = 607.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.