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Finding the Fourth Proportional to 1,919.35, 2,879.19 and 532.69

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Solution

The fourth proportional to 1,919.35, 2,879.19 and 532.69 is: 799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.35 : 2,879.19 = 532.69 : x
  2. Step 2: Convert to fraction form
    1,919.35/2,879.19 = 532.69/x
  3. Step 3: Cross multiply
    1,919.35x = 2,879.19 × 532.69
  4. Step 4: Simplify right side
    1,919.35x = 1,533,698.66
  5. Step 5: Solve for x
    x = 1,533,698.66/1,919.35
  6. Step 6: Final answer
    x = 799.07

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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.