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Finding the Fourth Proportional to 780.33, 1,076.82 and 481.71

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Solution

The fourth proportional to 780.33, 1,076.82 and 481.71 is: 664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.33 : 1,076.82 = 481.71 : x
  2. Step 2: Convert to fraction form
    780.33/1,076.82 = 481.71/x
  3. Step 3: Cross multiply
    780.33x = 1,076.82 × 481.71
  4. Step 4: Simplify right side
    780.33x = 518,714.96
  5. Step 5: Solve for x
    x = 518,714.96/780.33
  6. Step 6: Final answer
    x = 664.74

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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.