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Finding the Fourth Proportional to 493.01, 679.91 and 442.52

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Solution

The fourth proportional to 493.01, 679.91 and 442.52 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 679.91 = 442.52 : x
  2. Step 2: Convert to fraction form
    493.01/679.91 = 442.52/x
  3. Step 3: Cross multiply
    493.01x = 679.91 × 442.52
  4. Step 4: Simplify right side
    493.01x = 300,873.77
  5. Step 5: Solve for x
    x = 300,873.77/493.01
  6. Step 6: Final answer
    x = 610.28

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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.