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Finding the Fourth Proportional to 868.44, 1,301.75 and 320.28

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Solution

The fourth proportional to 868.44, 1,301.75 and 320.28 is: 480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.44 : 1,301.75 = 320.28 : x
  2. Step 2: Convert to fraction form
    868.44/1,301.75 = 320.28/x
  3. Step 3: Cross multiply
    868.44x = 1,301.75 × 320.28
  4. Step 4: Simplify right side
    868.44x = 416,924.49
  5. Step 5: Solve for x
    x = 416,924.49/868.44
  6. Step 6: Final answer
    x = 480.08

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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.