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Finding the Fourth Proportional to 742.80, 1,023.48 and 701.04

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Solution

The fourth proportional to 742.80, 1,023.48 and 701.04 is: 965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.80 : 1,023.48 = 701.04 : x
  2. Step 2: Convert to fraction form
    742.80/1,023.48 = 701.04/x
  3. Step 3: Cross multiply
    742.80x = 1,023.48 × 701.04
  4. Step 4: Simplify right side
    742.80x = 717,500.42
  5. Step 5: Solve for x
    x = 717,500.42/742.80
  6. Step 6: Final answer
    x = 965.94

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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.