Home / 1,289.50-1,929.39-800.26

Finding the Fourth Proportional to 1,289.50, 1,929.39 and 800.26

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Solution

The fourth proportional to 1,289.50, 1,929.39 and 800.26 is: 1,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.50 : 1,929.39 = 800.26 : x
  2. Step 2: Convert to fraction form
    1,289.50/1,929.39 = 800.26/x
  3. Step 3: Cross multiply
    1,289.50x = 1,929.39 × 800.26
  4. Step 4: Simplify right side
    1,289.50x = 1,544,013.64
  5. Step 5: Solve for x
    x = 1,544,013.64/1,289.50
  6. Step 6: Final answer
    x = 1,197.37

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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.