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Finding the Fourth Proportional to 993.55, 1,370.14 and 742.03

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Solution

The fourth proportional to 993.55, 1,370.14 and 742.03 is: 1,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.55 : 1,370.14 = 742.03 : x
  2. Step 2: Convert to fraction form
    993.55/1,370.14 = 742.03/x
  3. Step 3: Cross multiply
    993.55x = 1,370.14 × 742.03
  4. Step 4: Simplify right side
    993.55x = 1,016,684.98
  5. Step 5: Solve for x
    x = 1,016,684.98/993.55
  6. Step 6: Final answer
    x = 1,023.29

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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.