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Finding the Fourth Proportional to 1,356.78, 1,872.36 and 735.78

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Solution

The fourth proportional to 1,356.78, 1,872.36 and 735.78 is: 1,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.78 : 1,872.36 = 735.78 : x
  2. Step 2: Convert to fraction form
    1,356.78/1,872.36 = 735.78/x
  3. Step 3: Cross multiply
    1,356.78x = 1,872.36 × 735.78
  4. Step 4: Simplify right side
    1,356.78x = 1,377,645.04
  5. Step 5: Solve for x
    x = 1,377,645.04/1,356.78
  6. Step 6: Final answer
    x = 1,015.38

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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.