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Finding the Fourth Proportional to 1,052.29, 1,452.11 and 580.19

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Solution

The fourth proportional to 1,052.29, 1,452.11 and 580.19 is: 800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.29 : 1,452.11 = 580.19 : x
  2. Step 2: Convert to fraction form
    1,052.29/1,452.11 = 580.19/x
  3. Step 3: Cross multiply
    1,052.29x = 1,452.11 × 580.19
  4. Step 4: Simplify right side
    1,052.29x = 842,489.54
  5. Step 5: Solve for x
    x = 842,489.54/1,052.29
  6. Step 6: Final answer
    x = 800.63

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Why These Related Problems?

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