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Finding the Fourth Proportional to 742.23, 1,023.84 and 480.40

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Solution

The fourth proportional to 742.23, 1,023.84 and 480.40 is: 662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,023.84 = 480.40 : x
  2. Step 2: Convert to fraction form
    742.23/1,023.84 = 480.40/x
  3. Step 3: Cross multiply
    742.23x = 1,023.84 × 480.40
  4. Step 4: Simplify right side
    742.23x = 491,850.18
  5. Step 5: Solve for x
    x = 491,850.18/742.23
  6. Step 6: Final answer
    x = 662.67

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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.