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Finding the Fourth Proportional to 830.44, 1,242.78 and 682.42

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Solution

The fourth proportional to 830.44, 1,242.78 and 682.42 is: 1,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,242.78 = 682.42 : x
  2. Step 2: Convert to fraction form
    830.44/1,242.78 = 682.42/x
  3. Step 3: Cross multiply
    830.44x = 1,242.78 × 682.42
  4. Step 4: Simplify right side
    830.44x = 848,097.93
  5. Step 5: Solve for x
    x = 848,097.93/830.44
  6. Step 6: Final answer
    x = 1,021.26

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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.