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Finding the Fourth Proportional to 494.76, 679.85 and 442.92

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Solution

The fourth proportional to 494.76, 679.85 and 442.92 is: 608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 679.85 = 442.92 : x
  2. Step 2: Convert to fraction form
    494.76/679.85 = 442.92/x
  3. Step 3: Cross multiply
    494.76x = 679.85 × 442.92
  4. Step 4: Simplify right side
    494.76x = 301,119.16
  5. Step 5: Solve for x
    x = 301,119.16/494.76
  6. Step 6: Final answer
    x = 608.62

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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.