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Finding the Fourth Proportional to 742.22, 1,023.80 and 493.44

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Solution

The fourth proportional to 742.22, 1,023.80 and 493.44 is: 680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.22 : 1,023.80 = 493.44 : x
  2. Step 2: Convert to fraction form
    742.22/1,023.80 = 493.44/x
  3. Step 3: Cross multiply
    742.22x = 1,023.80 × 493.44
  4. Step 4: Simplify right side
    742.22x = 505,181.40
  5. Step 5: Solve for x
    x = 505,181.40/742.22
  6. Step 6: Final answer
    x = 680.64

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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.