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Finding the Fourth Proportional to 1,208.66, 1,813.91 and 797.66

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Solution

The fourth proportional to 1,208.66, 1,813.91 and 797.66 is: 1,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.66 : 1,813.91 = 797.66 : x
  2. Step 2: Convert to fraction form
    1,208.66/1,813.91 = 797.66/x
  3. Step 3: Cross multiply
    1,208.66x = 1,813.91 × 797.66
  4. Step 4: Simplify right side
    1,208.66x = 1,446,883.45
  5. Step 5: Solve for x
    x = 1,446,883.45/1,208.66
  6. Step 6: Final answer
    x = 1,197.10

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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.