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Finding the Fourth Proportional to 1,625.22, 2,242.74 and 917.10

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Solution

The fourth proportional to 1,625.22, 2,242.74 and 917.10 is: 1,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.22 : 2,242.74 = 917.10 : x
  2. Step 2: Convert to fraction form
    1,625.22/2,242.74 = 917.10/x
  3. Step 3: Cross multiply
    1,625.22x = 2,242.74 × 917.10
  4. Step 4: Simplify right side
    1,625.22x = 2,056,816.85
  5. Step 5: Solve for x
    x = 2,056,816.85/1,625.22
  6. Step 6: Final answer
    x = 1,265.56

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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.