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Finding the Fourth Proportional to 742.09, 1,113.24 and 255.01

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Solution

The fourth proportional to 742.09, 1,113.24 and 255.01 is: 382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.09 : 1,113.24 = 255.01 : x
  2. Step 2: Convert to fraction form
    742.09/1,113.24 = 255.01/x
  3. Step 3: Cross multiply
    742.09x = 1,113.24 × 255.01
  4. Step 4: Simplify right side
    742.09x = 283,887.33
  5. Step 5: Solve for x
    x = 283,887.33/742.09
  6. Step 6: Final answer
    x = 382.55

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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.