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Finding the Fourth Proportional to 2,259.64, 3,389.26 and 798.72

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Solution

The fourth proportional to 2,259.64, 3,389.26 and 798.72 is: 1,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.64 : 3,389.26 = 798.72 : x
  2. Step 2: Convert to fraction form
    2,259.64/3,389.26 = 798.72/x
  3. Step 3: Cross multiply
    2,259.64x = 3,389.26 × 798.72
  4. Step 4: Simplify right side
    2,259.64x = 2,707,069.75
  5. Step 5: Solve for x
    x = 2,707,069.75/2,259.64
  6. Step 6: Final answer
    x = 1,198.01

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1.5x scale

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.