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Finding the Fourth Proportional to 628.86, 942.49 and 320.79

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Solution

The fourth proportional to 628.86, 942.49 and 320.79 is: 480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.86 : 942.49 = 320.79 : x
  2. Step 2: Convert to fraction form
    628.86/942.49 = 320.79/x
  3. Step 3: Cross multiply
    628.86x = 942.49 × 320.79
  4. Step 4: Simplify right side
    628.86x = 302,341.37
  5. Step 5: Solve for x
    x = 302,341.37/628.86
  6. Step 6: Final answer
    x = 480.78

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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.