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Finding the Fourth Proportional to 1,589.08, 2,193.16 and 890.50

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Solution

The fourth proportional to 1,589.08, 2,193.16 and 890.50 is: 1,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.08 : 2,193.16 = 890.50 : x
  2. Step 2: Convert to fraction form
    1,589.08/2,193.16 = 890.50/x
  3. Step 3: Cross multiply
    1,589.08x = 2,193.16 × 890.50
  4. Step 4: Simplify right side
    1,589.08x = 1,953,008.98
  5. Step 5: Solve for x
    x = 1,953,008.98/1,589.08
  6. Step 6: Final answer
    x = 1,229.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.