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Finding the Fourth Proportional to 1,490.59, 2,059.19 and 1,099.77

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Solution

The fourth proportional to 1,490.59, 2,059.19 and 1,099.77 is: 1,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.59 : 2,059.19 = 1,099.77 : x
  2. Step 2: Convert to fraction form
    1,490.59/2,059.19 = 1,099.77/x
  3. Step 3: Cross multiply
    1,490.59x = 2,059.19 × 1,099.77
  4. Step 4: Simplify right side
    1,490.59x = 2,264,635.39
  5. Step 5: Solve for x
    x = 2,264,635.39/1,490.59
  6. Step 6: Final answer
    x = 1,519.29

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Why These Related Problems?

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