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Finding the Fourth Proportional to 1,680.98, 2,518.22 and 815.90

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Solution

The fourth proportional to 1,680.98, 2,518.22 and 815.90 is: 1,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.98 : 2,518.22 = 815.90 : x
  2. Step 2: Convert to fraction form
    1,680.98/2,518.22 = 815.90/x
  3. Step 3: Cross multiply
    1,680.98x = 2,518.22 × 815.90
  4. Step 4: Simplify right side
    1,680.98x = 2,054,615.70
  5. Step 5: Solve for x
    x = 2,054,615.70/1,680.98
  6. Step 6: Final answer
    x = 1,222.27

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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.