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Finding the Fourth Proportional to 1,231.07, 1,845.69 and 744.00

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Solution

The fourth proportional to 1,231.07, 1,845.69 and 744.00 is: 1,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.07 : 1,845.69 = 744.00 : x
  2. Step 2: Convert to fraction form
    1,231.07/1,845.69 = 744.00/x
  3. Step 3: Cross multiply
    1,231.07x = 1,845.69 × 744.00
  4. Step 4: Simplify right side
    1,231.07x = 1,373,191.95
  5. Step 5: Solve for x
    x = 1,373,191.95/1,231.07
  6. Step 6: Final answer
    x = 1,115.45

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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.