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Finding the Fourth Proportional to 628.16, 865.49 and 480.33

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Solution

The fourth proportional to 628.16, 865.49 and 480.33 is: 661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 865.49 = 480.33 : x
  2. Step 2: Convert to fraction form
    628.16/865.49 = 480.33/x
  3. Step 3: Cross multiply
    628.16x = 865.49 × 480.33
  4. Step 4: Simplify right side
    628.16x = 415,718.41
  5. Step 5: Solve for x
    x = 415,718.41/628.16
  6. Step 6: Final answer
    x = 661.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.