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Finding the Fourth Proportional to 794.96, 1,191.19 and 378.01

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Solution

The fourth proportional to 794.96, 1,191.19 and 378.01 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,191.19 = 378.01 : x
  2. Step 2: Convert to fraction form
    794.96/1,191.19 = 378.01/x
  3. Step 3: Cross multiply
    794.96x = 1,191.19 × 378.01
  4. Step 4: Simplify right side
    794.96x = 450,281.73
  5. Step 5: Solve for x
    x = 450,281.73/794.96
  6. Step 6: Final answer
    x = 566.42

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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.