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Finding the Fourth Proportional to 840.14, 1,153.15 and 744.78

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Solution

The fourth proportional to 840.14, 1,153.15 and 744.78 is: 1,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.14 : 1,153.15 = 744.78 : x
  2. Step 2: Convert to fraction form
    840.14/1,153.15 = 744.78/x
  3. Step 3: Cross multiply
    840.14x = 1,153.15 × 744.78
  4. Step 4: Simplify right side
    840.14x = 858,843.06
  5. Step 5: Solve for x
    x = 858,843.06/840.14
  6. Step 6: Final answer
    x = 1,022.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.