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Finding the Fourth Proportional to 1,361.69, 2,042.49 and 437.31

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Solution

The fourth proportional to 1,361.69, 2,042.49 and 437.31 is: 655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.69 : 2,042.49 = 437.31 : x
  2. Step 2: Convert to fraction form
    1,361.69/2,042.49 = 437.31/x
  3. Step 3: Cross multiply
    1,361.69x = 2,042.49 × 437.31
  4. Step 4: Simplify right side
    1,361.69x = 893,201.30
  5. Step 5: Solve for x
    x = 893,201.30/1,361.69
  6. Step 6: Final answer
    x = 655.95

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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.