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Finding the Fourth Proportional to 744.74, 1,117.12 and 257.81

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Solution

The fourth proportional to 744.74, 1,117.12 and 257.81 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.74 : 1,117.12 = 257.81 : x
  2. Step 2: Convert to fraction form
    744.74/1,117.12 = 257.81/x
  3. Step 3: Cross multiply
    744.74x = 1,117.12 × 257.81
  4. Step 4: Simplify right side
    744.74x = 287,999.44
  5. Step 5: Solve for x
    x = 287,999.44/744.74
  6. Step 6: Final answer
    x = 386.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.