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Finding the Fourth Proportional to 794.23, 1,191.44 and 300.58

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Solution

The fourth proportional to 794.23, 1,191.44 and 300.58 is: 450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.23 : 1,191.44 = 300.58 : x
  2. Step 2: Convert to fraction form
    794.23/1,191.44 = 300.58/x
  3. Step 3: Cross multiply
    794.23x = 1,191.44 × 300.58
  4. Step 4: Simplify right side
    794.23x = 358,120.81
  5. Step 5: Solve for x
    x = 358,120.81/794.23
  6. Step 6: Final answer
    x = 450.90

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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.