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Finding the Fourth Proportional to 1,052.72, 1,452.71 and 580.62

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Solution

The fourth proportional to 1,052.72, 1,452.71 and 580.62 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.72 : 1,452.71 = 580.62 : x
  2. Step 2: Convert to fraction form
    1,052.72/1,452.71 = 580.62/x
  3. Step 3: Cross multiply
    1,052.72x = 1,452.71 × 580.62
  4. Step 4: Simplify right side
    1,052.72x = 843,469.58
  5. Step 5: Solve for x
    x = 843,469.58/1,052.72
  6. Step 6: Final answer
    x = 801.23

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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.