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Finding the Fourth Proportional to 1,789.45, 2,683.86 and 473.21

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Solution

The fourth proportional to 1,789.45, 2,683.86 and 473.21 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.45 : 2,683.86 = 473.21 : x
  2. Step 2: Convert to fraction form
    1,789.45/2,683.86 = 473.21/x
  3. Step 3: Cross multiply
    1,789.45x = 2,683.86 × 473.21
  4. Step 4: Simplify right side
    1,789.45x = 1,270,039.46
  5. Step 5: Solve for x
    x = 1,270,039.46/1,789.45
  6. Step 6: Final answer
    x = 709.74

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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.