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Finding the Fourth Proportional to 1,571.81, 2,357.74 and 682.14

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Solution

The fourth proportional to 1,571.81, 2,357.74 and 682.14 is: 1,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.81 : 2,357.74 = 682.14 : x
  2. Step 2: Convert to fraction form
    1,571.81/2,357.74 = 682.14/x
  3. Step 3: Cross multiply
    1,571.81x = 2,357.74 × 682.14
  4. Step 4: Simplify right side
    1,571.81x = 1,608,294.73
  5. Step 5: Solve for x
    x = 1,608,294.73/1,571.81
  6. Step 6: Final answer
    x = 1,023.21

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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.