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Finding the Fourth Proportional to 764.27, 1,143.93 and 416.78

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Solution

The fourth proportional to 764.27, 1,143.93 and 416.78 is: 623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.27 : 1,143.93 = 416.78 : x
  2. Step 2: Convert to fraction form
    764.27/1,143.93 = 416.78/x
  3. Step 3: Cross multiply
    764.27x = 1,143.93 × 416.78
  4. Step 4: Simplify right side
    764.27x = 476,767.15
  5. Step 5: Solve for x
    x = 476,767.15/764.27
  6. Step 6: Final answer
    x = 623.82

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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.