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Finding the Fourth Proportional to 742.96, 1,114.21 and 391.37

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Solution

The fourth proportional to 742.96, 1,114.21 and 391.37 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,114.21 = 391.37 : x
  2. Step 2: Convert to fraction form
    742.96/1,114.21 = 391.37/x
  3. Step 3: Cross multiply
    742.96x = 1,114.21 × 391.37
  4. Step 4: Simplify right side
    742.96x = 436,069.55
  5. Step 5: Solve for x
    x = 436,069.55/742.96
  6. Step 6: Final answer
    x = 586.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.