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Finding the Fourth Proportional to 1,538.75, 2,309.49 and 717.48

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Solution

The fourth proportional to 1,538.75, 2,309.49 and 717.48 is: 1,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.75 : 2,309.49 = 717.48 : x
  2. Step 2: Convert to fraction form
    1,538.75/2,309.49 = 717.48/x
  3. Step 3: Cross multiply
    1,538.75x = 2,309.49 × 717.48
  4. Step 4: Simplify right side
    1,538.75x = 1,657,012.89
  5. Step 5: Solve for x
    x = 1,657,012.89/1,538.75
  6. Step 6: Final answer
    x = 1,076.86

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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.