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Finding the Fourth Proportional to 1,145.77, 1,589.81 and 1,099.50

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Solution

The fourth proportional to 1,145.77, 1,589.81 and 1,099.50 is: 1,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.77 : 1,589.81 = 1,099.50 : x
  2. Step 2: Convert to fraction form
    1,145.77/1,589.81 = 1,099.50/x
  3. Step 3: Cross multiply
    1,145.77x = 1,589.81 × 1,099.50
  4. Step 4: Simplify right side
    1,145.77x = 1,747,998.84
  5. Step 5: Solve for x
    x = 1,747,998.84/1,145.77
  6. Step 6: Final answer
    x = 1,525.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.