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Finding the Fourth Proportional to 744.64, 1,116.06 and 538.09

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Solution

The fourth proportional to 744.64, 1,116.06 and 538.09 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.64 : 1,116.06 = 538.09 : x
  2. Step 2: Convert to fraction form
    744.64/1,116.06 = 538.09/x
  3. Step 3: Cross multiply
    744.64x = 1,116.06 × 538.09
  4. Step 4: Simplify right side
    744.64x = 600,540.73
  5. Step 5: Solve for x
    x = 600,540.73/744.64
  6. Step 6: Final answer
    x = 806.48

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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.