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Finding the Fourth Proportional to 725.24, 1,093.25 and 683.48

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Solution

The fourth proportional to 725.24, 1,093.25 and 683.48 is: 1,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.24 : 1,093.25 = 683.48 : x
  2. Step 2: Convert to fraction form
    725.24/1,093.25 = 683.48/x
  3. Step 3: Cross multiply
    725.24x = 1,093.25 × 683.48
  4. Step 4: Simplify right side
    725.24x = 747,214.51
  5. Step 5: Solve for x
    x = 747,214.51/725.24
  6. Step 6: Final answer
    x = 1,030.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.