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Finding the Fourth Proportional to 1,097.11, 1,645.93 and 773.11

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Solution

The fourth proportional to 1,097.11, 1,645.93 and 773.11 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.11 : 1,645.93 = 773.11 : x
  2. Step 2: Convert to fraction form
    1,097.11/1,645.93 = 773.11/x
  3. Step 3: Cross multiply
    1,097.11x = 1,645.93 × 773.11
  4. Step 4: Simplify right side
    1,097.11x = 1,272,480.83
  5. Step 5: Solve for x
    x = 1,272,480.83/1,097.11
  6. Step 6: Final answer
    x = 1,159.85

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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.