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Finding the Fourth Proportional to 550, 821.96 and 441.28

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Solution

The fourth proportional to 550, 821.96 and 441.28 is: 659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 821.96 = 441.28 : x
  2. Step 2: Convert to fraction form
    550/821.96 = 441.28/x
  3. Step 3: Cross multiply
    550x = 821.96 × 441.28
  4. Step 4: Simplify right side
    550x = 362,714.51
  5. Step 5: Solve for x
    x = 362,714.51/550
  6. Step 6: Final answer
    x = 659.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.