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Finding the Fourth Proportional to 704.73, 1,052.22 and 618.60

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Solution

The fourth proportional to 704.73, 1,052.22 and 618.60 is: 923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.73 : 1,052.22 = 618.60 : x
  2. Step 2: Convert to fraction form
    704.73/1,052.22 = 618.60/x
  3. Step 3: Cross multiply
    704.73x = 1,052.22 × 618.60
  4. Step 4: Simplify right side
    704.73x = 650,903.29
  5. Step 5: Solve for x
    x = 650,903.29/704.73
  6. Step 6: Final answer
    x = 923.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.