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Finding the Fourth Proportional to 1,356.90, 1,872.54 and 797.38

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Solution

The fourth proportional to 1,356.90, 1,872.54 and 797.38 is: 1,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.90 : 1,872.54 = 797.38 : x
  2. Step 2: Convert to fraction form
    1,356.90/1,872.54 = 797.38/x
  3. Step 3: Cross multiply
    1,356.90x = 1,872.54 × 797.38
  4. Step 4: Simplify right side
    1,356.90x = 1,493,125.95
  5. Step 5: Solve for x
    x = 1,493,125.95/1,356.90
  6. Step 6: Final answer
    x = 1,100.39

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Why These Related Problems?

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