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Finding the Fourth Proportional to 735.07, 1,101.82 and 344.74

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Solution

The fourth proportional to 735.07, 1,101.82 and 344.74 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.07 : 1,101.82 = 344.74 : x
  2. Step 2: Convert to fraction form
    735.07/1,101.82 = 344.74/x
  3. Step 3: Cross multiply
    735.07x = 1,101.82 × 344.74
  4. Step 4: Simplify right side
    735.07x = 379,837.81
  5. Step 5: Solve for x
    x = 379,837.81/735.07
  6. Step 6: Final answer
    x = 516.74

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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.