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Finding the Fourth Proportional to 768.01, 1,150.94 and 334.26

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Solution

The fourth proportional to 768.01, 1,150.94 and 334.26 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.01 : 1,150.94 = 334.26 : x
  2. Step 2: Convert to fraction form
    768.01/1,150.94 = 334.26/x
  3. Step 3: Cross multiply
    768.01x = 1,150.94 × 334.26
  4. Step 4: Simplify right side
    768.01x = 384,705.78
  5. Step 5: Solve for x
    x = 384,705.78/768.01
  6. Step 6: Final answer
    x = 500.91

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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.