Home / 1,589.30-2,384.52-965.87

Finding the Fourth Proportional to 1,589.30, 2,384.52 and 965.87

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Solution

The fourth proportional to 1,589.30, 2,384.52 and 965.87 is: 1,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.30 : 2,384.52 = 965.87 : x
  2. Step 2: Convert to fraction form
    1,589.30/2,384.52 = 965.87/x
  3. Step 3: Cross multiply
    1,589.30x = 2,384.52 × 965.87
  4. Step 4: Simplify right side
    1,589.30x = 2,303,136.97
  5. Step 5: Solve for x
    x = 2,303,136.97/1,589.30
  6. Step 6: Final answer
    x = 1,449.15

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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.