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Finding the Fourth Proportional to 1,361.04, 1,878.22 and 801.52

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Solution

The fourth proportional to 1,361.04, 1,878.22 and 801.52 is: 1,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.04 : 1,878.22 = 801.52 : x
  2. Step 2: Convert to fraction form
    1,361.04/1,878.22 = 801.52/x
  3. Step 3: Cross multiply
    1,361.04x = 1,878.22 × 801.52
  4. Step 4: Simplify right side
    1,361.04x = 1,505,430.89
  5. Step 5: Solve for x
    x = 1,505,430.89/1,361.04
  6. Step 6: Final answer
    x = 1,106.09

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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.