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Finding the Fourth Proportional to 1,489.82, 2,235.94 and 797.00

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Solution

The fourth proportional to 1,489.82, 2,235.94 and 797.00 is: 1,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.82 : 2,235.94 = 797.00 : x
  2. Step 2: Convert to fraction form
    1,489.82/2,235.94 = 797.00/x
  3. Step 3: Cross multiply
    1,489.82x = 2,235.94 × 797.00
  4. Step 4: Simplify right side
    1,489.82x = 1,782,050.09
  5. Step 5: Solve for x
    x = 1,782,050.09/1,489.82
  6. Step 6: Final answer
    x = 1,196.15

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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.