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Finding the Fourth Proportional to 1,589.70, 2,384.55 and 859.62

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Solution

The fourth proportional to 1,589.70, 2,384.55 and 859.62 is: 1,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.70 : 2,384.55 = 859.62 : x
  2. Step 2: Convert to fraction form
    1,589.70/2,384.55 = 859.62/x
  3. Step 3: Cross multiply
    1,589.70x = 2,384.55 × 859.62
  4. Step 4: Simplify right side
    1,589.70x = 2,049,806.87
  5. Step 5: Solve for x
    x = 2,049,806.87/1,589.70
  6. Step 6: Final answer
    x = 1,289.43

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1.5x scale

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.