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Finding the Fourth Proportional to 1,259.39, 1,889.21 and 518.83

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Solution

The fourth proportional to 1,259.39, 1,889.21 and 518.83 is: 778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.39 : 1,889.21 = 518.83 : x
  2. Step 2: Convert to fraction form
    1,259.39/1,889.21 = 518.83/x
  3. Step 3: Cross multiply
    1,259.39x = 1,889.21 × 518.83
  4. Step 4: Simplify right side
    1,259.39x = 980,166.78
  5. Step 5: Solve for x
    x = 980,166.78/1,259.39
  6. Step 6: Final answer
    x = 778.29

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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.