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Finding the Fourth Proportional to 744.39, 1,116.57 and 257.43

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Solution

The fourth proportional to 744.39, 1,116.57 and 257.43 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.39 : 1,116.57 = 257.43 : x
  2. Step 2: Convert to fraction form
    744.39/1,116.57 = 257.43/x
  3. Step 3: Cross multiply
    744.39x = 1,116.57 × 257.43
  4. Step 4: Simplify right side
    744.39x = 287,433.03
  5. Step 5: Solve for x
    x = 287,433.03/744.39
  6. Step 6: Final answer
    x = 386.13

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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.