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Finding the Fourth Proportional to 1,659.85, 2,489.69 and 564.23

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Solution

The fourth proportional to 1,659.85, 2,489.69 and 564.23 is: 846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.85 : 2,489.69 = 564.23 : x
  2. Step 2: Convert to fraction form
    1,659.85/2,489.69 = 564.23/x
  3. Step 3: Cross multiply
    1,659.85x = 2,489.69 × 564.23
  4. Step 4: Simplify right side
    1,659.85x = 1,404,765.42
  5. Step 5: Solve for x
    x = 1,404,765.42/1,659.85
  6. Step 6: Final answer
    x = 846.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.