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Finding the Fourth Proportional to 1,723.92, 2,584.20 and 902.27

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Solution

The fourth proportional to 1,723.92, 2,584.20 and 902.27 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.92 : 2,584.20 = 902.27 : x
  2. Step 2: Convert to fraction form
    1,723.92/2,584.20 = 902.27/x
  3. Step 3: Cross multiply
    1,723.92x = 2,584.20 × 902.27
  4. Step 4: Simplify right side
    1,723.92x = 2,331,655.98
  5. Step 5: Solve for x
    x = 2,331,655.98/1,723.92
  6. Step 6: Final answer
    x = 1,352.53

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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.