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Finding the Fourth Proportional to 741.83, 1,112.86 and 255.02

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Solution

The fourth proportional to 741.83, 1,112.86 and 255.02 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.83 : 1,112.86 = 255.02 : x
  2. Step 2: Convert to fraction form
    741.83/1,112.86 = 255.02/x
  3. Step 3: Cross multiply
    741.83x = 1,112.86 × 255.02
  4. Step 4: Simplify right side
    741.83x = 283,801.56
  5. Step 5: Solve for x
    x = 283,801.56/741.83
  6. Step 6: Final answer
    x = 382.57

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1.5x scale

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.