Home / 1,535.35-2,301.73-713.20

Finding the Fourth Proportional to 1,535.35, 2,301.73 and 713.20

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Solution

The fourth proportional to 1,535.35, 2,301.73 and 713.20 is: 1,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.35 : 2,301.73 = 713.20 : x
  2. Step 2: Convert to fraction form
    1,535.35/2,301.73 = 713.20/x
  3. Step 3: Cross multiply
    1,535.35x = 2,301.73 × 713.20
  4. Step 4: Simplify right side
    1,535.35x = 1,641,593.84
  5. Step 5: Solve for x
    x = 1,641,593.84/1,535.35
  6. Step 6: Final answer
    x = 1,069.20

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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.