Home / 1,709.24-2,564.26-734.80

Finding the Fourth Proportional to 1,709.24, 2,564.26 and 734.80

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Solution

The fourth proportional to 1,709.24, 2,564.26 and 734.80 is: 1,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.24 : 2,564.26 = 734.80 : x
  2. Step 2: Convert to fraction form
    1,709.24/2,564.26 = 734.80/x
  3. Step 3: Cross multiply
    1,709.24x = 2,564.26 × 734.80
  4. Step 4: Simplify right side
    1,709.24x = 1,884,218.25
  5. Step 5: Solve for x
    x = 1,884,218.25/1,709.24
  6. Step 6: Final answer
    x = 1,102.37

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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.