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Finding the Fourth Proportional to 762.86, 1,144.33 and 300.69

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Solution

The fourth proportional to 762.86, 1,144.33 and 300.69 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.86 : 1,144.33 = 300.69 : x
  2. Step 2: Convert to fraction form
    762.86/1,144.33 = 300.69/x
  3. Step 3: Cross multiply
    762.86x = 1,144.33 × 300.69
  4. Step 4: Simplify right side
    762.86x = 344,087.84
  5. Step 5: Solve for x
    x = 344,087.84/762.86
  6. Step 6: Final answer
    x = 451.05

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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.