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Finding the Fourth Proportional to 1,052.22, 1,578.38 and 402.91

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Solution

The fourth proportional to 1,052.22, 1,578.38 and 402.91 is: 604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.22 : 1,578.38 = 402.91 : x
  2. Step 2: Convert to fraction form
    1,052.22/1,578.38 = 402.91/x
  3. Step 3: Cross multiply
    1,052.22x = 1,578.38 × 402.91
  4. Step 4: Simplify right side
    1,052.22x = 635,945.09
  5. Step 5: Solve for x
    x = 635,945.09/1,052.22
  6. Step 6: Final answer
    x = 604.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.