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Finding the Fourth Proportional to 2,259.76, 3,390.15 and 798.91

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Solution

The fourth proportional to 2,259.76, 3,390.15 and 798.91 is: 1,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.76 : 3,390.15 = 798.91 : x
  2. Step 2: Convert to fraction form
    2,259.76/3,390.15 = 798.91/x
  3. Step 3: Cross multiply
    2,259.76x = 3,390.15 × 798.91
  4. Step 4: Simplify right side
    2,259.76x = 2,708,424.74
  5. Step 5: Solve for x
    x = 2,708,424.74/2,259.76
  6. Step 6: Final answer
    x = 1,198.55

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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.