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Finding the Fourth Proportional to 1,144.50, 1,579.56 and 678.78

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Solution

The fourth proportional to 1,144.50, 1,579.56 and 678.78 is: 936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.50 : 1,579.56 = 678.78 : x
  2. Step 2: Convert to fraction form
    1,144.50/1,579.56 = 678.78/x
  3. Step 3: Cross multiply
    1,144.50x = 1,579.56 × 678.78
  4. Step 4: Simplify right side
    1,144.50x = 1,072,173.74
  5. Step 5: Solve for x
    x = 1,072,173.74/1,144.50
  6. Step 6: Final answer
    x = 936.81

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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.