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Finding the Fourth Proportional to 1,538.73, 2,309.11 and 717.05

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Solution

The fourth proportional to 1,538.73, 2,309.11 and 717.05 is: 1,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.73 : 2,309.11 = 717.05 : x
  2. Step 2: Convert to fraction form
    1,538.73/2,309.11 = 717.05/x
  3. Step 3: Cross multiply
    1,538.73x = 2,309.11 × 717.05
  4. Step 4: Simplify right side
    1,538.73x = 1,655,751.31
  5. Step 5: Solve for x
    x = 1,655,751.31/1,538.73
  6. Step 6: Final answer
    x = 1,076.05

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1.5x scale

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.