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Finding the Fourth Proportional to 767.41, 1,059.11 and 452.78

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Solution

The fourth proportional to 767.41, 1,059.11 and 452.78 is: 624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.41 : 1,059.11 = 452.78 : x
  2. Step 2: Convert to fraction form
    767.41/1,059.11 = 452.78/x
  3. Step 3: Cross multiply
    767.41x = 1,059.11 × 452.78
  4. Step 4: Simplify right side
    767.41x = 479,541.94
  5. Step 5: Solve for x
    x = 479,541.94/767.41
  6. Step 6: Final answer
    x = 624.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.