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Finding the Fourth Proportional to 767.14, 1,149.81 and 419.98

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Solution

The fourth proportional to 767.14, 1,149.81 and 419.98 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.14 : 1,149.81 = 419.98 : x
  2. Step 2: Convert to fraction form
    767.14/1,149.81 = 419.98/x
  3. Step 3: Cross multiply
    767.14x = 1,149.81 × 419.98
  4. Step 4: Simplify right side
    767.14x = 482,897.20
  5. Step 5: Solve for x
    x = 482,897.20/767.14
  6. Step 6: Final answer
    x = 629.48

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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.