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Finding the Fourth Proportional to 1,805.31, 2,709.21 and 709.68

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Solution

The fourth proportional to 1,805.31, 2,709.21 and 709.68 is: 1,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.31 : 2,709.21 = 709.68 : x
  2. Step 2: Convert to fraction form
    1,805.31/2,709.21 = 709.68/x
  3. Step 3: Cross multiply
    1,805.31x = 2,709.21 × 709.68
  4. Step 4: Simplify right side
    1,805.31x = 1,922,672.15
  5. Step 5: Solve for x
    x = 1,922,672.15/1,805.31
  6. Step 6: Final answer
    x = 1,065.01

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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.