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Finding the Fourth Proportional to 628.25, 942.08 and 320.27

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Solution

The fourth proportional to 628.25, 942.08 and 320.27 is: 480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.25 : 942.08 = 320.27 : x
  2. Step 2: Convert to fraction form
    628.25/942.08 = 320.27/x
  3. Step 3: Cross multiply
    628.25x = 942.08 × 320.27
  4. Step 4: Simplify right side
    628.25x = 301,713.65
  5. Step 5: Solve for x
    x = 301,713.65/628.25
  6. Step 6: Final answer
    x = 480.25

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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.