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Finding the Fourth Proportional to 768.03, 1,150.41 and 357.54

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Solution

The fourth proportional to 768.03, 1,150.41 and 357.54 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.03 : 1,150.41 = 357.54 : x
  2. Step 2: Convert to fraction form
    768.03/1,150.41 = 357.54/x
  3. Step 3: Cross multiply
    768.03x = 1,150.41 × 357.54
  4. Step 4: Simplify right side
    768.03x = 411,317.59
  5. Step 5: Solve for x
    x = 411,317.59/768.03
  6. Step 6: Final answer
    x = 535.55

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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.