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Finding the Fourth Proportional to 1,175.07, 1,622.12 and 1,122.83

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Solution

The fourth proportional to 1,175.07, 1,622.12 and 1,122.83 is: 1,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.07 : 1,622.12 = 1,122.83 : x
  2. Step 2: Convert to fraction form
    1,175.07/1,622.12 = 1,122.83/x
  3. Step 3: Cross multiply
    1,175.07x = 1,622.12 × 1,122.83
  4. Step 4: Simplify right side
    1,175.07x = 1,821,365.00
  5. Step 5: Solve for x
    x = 1,821,365.00/1,175.07
  6. Step 6: Final answer
    x = 1,550.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.