Home / 1,509.20-2,259.75-859.04

Finding the Fourth Proportional to 1,509.20, 2,259.75 and 859.04

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Solution

The fourth proportional to 1,509.20, 2,259.75 and 859.04 is: 1,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.20 : 2,259.75 = 859.04 : x
  2. Step 2: Convert to fraction form
    1,509.20/2,259.75 = 859.04/x
  3. Step 3: Cross multiply
    1,509.20x = 2,259.75 × 859.04
  4. Step 4: Simplify right side
    1,509.20x = 1,941,215.64
  5. Step 5: Solve for x
    x = 1,941,215.64/1,509.20
  6. Step 6: Final answer
    x = 1,286.25

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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.