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Finding the Fourth Proportional to 1,361.55, 2,042.31 and 713.55

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Solution

The fourth proportional to 1,361.55, 2,042.31 and 713.55 is: 1,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.55 : 2,042.31 = 713.55 : x
  2. Step 2: Convert to fraction form
    1,361.55/2,042.31 = 713.55/x
  3. Step 3: Cross multiply
    1,361.55x = 2,042.31 × 713.55
  4. Step 4: Simplify right side
    1,361.55x = 1,457,290.30
  5. Step 5: Solve for x
    x = 1,457,290.30/1,361.55
  6. Step 6: Final answer
    x = 1,070.32

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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.