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Finding the Fourth Proportional to 1,013.98, 1,520.24 and 819.22

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Solution

The fourth proportional to 1,013.98, 1,520.24 and 819.22 is: 1,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.98 : 1,520.24 = 819.22 : x
  2. Step 2: Convert to fraction form
    1,013.98/1,520.24 = 819.22/x
  3. Step 3: Cross multiply
    1,013.98x = 1,520.24 × 819.22
  4. Step 4: Simplify right side
    1,013.98x = 1,245,411.01
  5. Step 5: Solve for x
    x = 1,245,411.01/1,013.98
  6. Step 6: Final answer
    x = 1,228.24

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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.