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Finding the Fourth Proportional to 1,601.04, 2,396.40 and 859.62

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Solution

The fourth proportional to 1,601.04, 2,396.40 and 859.62 is: 1,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.04 : 2,396.40 = 859.62 : x
  2. Step 2: Convert to fraction form
    1,601.04/2,396.40 = 859.62/x
  3. Step 3: Cross multiply
    1,601.04x = 2,396.40 × 859.62
  4. Step 4: Simplify right side
    1,601.04x = 2,059,993.37
  5. Step 5: Solve for x
    x = 2,059,993.37/1,601.04
  6. Step 6: Final answer
    x = 1,286.66

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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.