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Finding the Fourth Proportional to 1,469.06, 2,199.64 and 774.28

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Solution

The fourth proportional to 1,469.06, 2,199.64 and 774.28 is: 1,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.06 : 2,199.64 = 774.28 : x
  2. Step 2: Convert to fraction form
    1,469.06/2,199.64 = 774.28/x
  3. Step 3: Cross multiply
    1,469.06x = 2,199.64 × 774.28
  4. Step 4: Simplify right side
    1,469.06x = 1,703,143.73
  5. Step 5: Solve for x
    x = 1,703,143.73/1,469.06
  6. Step 6: Final answer
    x = 1,159.34

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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.