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Finding the Fourth Proportional to 2,398.56, 3,599.48 and 859.56

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Solution

The fourth proportional to 2,398.56, 3,599.48 and 859.56 is: 1,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.56 : 3,599.48 = 859.56 : x
  2. Step 2: Convert to fraction form
    2,398.56/3,599.48 = 859.56/x
  3. Step 3: Cross multiply
    2,398.56x = 3,599.48 × 859.56
  4. Step 4: Simplify right side
    2,398.56x = 3,093,969.03
  5. Step 5: Solve for x
    x = 3,093,969.03/2,398.56
  6. Step 6: Final answer
    x = 1,289.93

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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.