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Finding the Fourth Proportional to 742.39, 1,112.87 and 357.43

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Solution

The fourth proportional to 742.39, 1,112.87 and 357.43 is: 535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.39 : 1,112.87 = 357.43 : x
  2. Step 2: Convert to fraction form
    742.39/1,112.87 = 357.43/x
  3. Step 3: Cross multiply
    742.39x = 1,112.87 × 357.43
  4. Step 4: Simplify right side
    742.39x = 397,771.34
  5. Step 5: Solve for x
    x = 397,771.34/742.39
  6. Step 6: Final answer
    x = 535.80

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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.