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Finding the Fourth Proportional to 902.43, 1,352.23 and 511.94

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Solution

The fourth proportional to 902.43, 1,352.23 and 511.94 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.43 : 1,352.23 = 511.94 : x
  2. Step 2: Convert to fraction form
    902.43/1,352.23 = 511.94/x
  3. Step 3: Cross multiply
    902.43x = 1,352.23 × 511.94
  4. Step 4: Simplify right side
    902.43x = 692,262.73
  5. Step 5: Solve for x
    x = 692,262.73/902.43
  6. Step 6: Final answer
    x = 767.11

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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.