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Finding the Fourth Proportional to 767.46, 1,150.47 and 280.38

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Solution

The fourth proportional to 767.46, 1,150.47 and 280.38 is: 420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.46 : 1,150.47 = 280.38 : x
  2. Step 2: Convert to fraction form
    767.46/1,150.47 = 280.38/x
  3. Step 3: Cross multiply
    767.46x = 1,150.47 × 280.38
  4. Step 4: Simplify right side
    767.46x = 322,568.78
  5. Step 5: Solve for x
    x = 322,568.78/767.46
  6. Step 6: Final answer
    x = 420.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.