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Finding the Fourth Proportional to 1,219.90, 1,680.84 and 1,020.04

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Solution

The fourth proportional to 1,219.90, 1,680.84 and 1,020.04 is: 1,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.90 : 1,680.84 = 1,020.04 : x
  2. Step 2: Convert to fraction form
    1,219.90/1,680.84 = 1,020.04/x
  3. Step 3: Cross multiply
    1,219.90x = 1,680.84 × 1,020.04
  4. Step 4: Simplify right side
    1,219.90x = 1,714,524.03
  5. Step 5: Solve for x
    x = 1,714,524.03/1,219.90
  6. Step 6: Final answer
    x = 1,405.46

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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.