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Finding the Fourth Proportional to 744.07, 1,115.36 and 484.24

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Solution

The fourth proportional to 744.07, 1,115.36 and 484.24 is: 725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.07 : 1,115.36 = 484.24 : x
  2. Step 2: Convert to fraction form
    744.07/1,115.36 = 484.24/x
  3. Step 3: Cross multiply
    744.07x = 1,115.36 × 484.24
  4. Step 4: Simplify right side
    744.07x = 540,101.93
  5. Step 5: Solve for x
    x = 540,101.93/744.07
  6. Step 6: Final answer
    x = 725.88

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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.