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Finding the Fourth Proportional to 581.90, 876.86 and 481.44

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Solution

The fourth proportional to 581.90, 876.86 and 481.44 is: 725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.90 : 876.86 = 481.44 : x
  2. Step 2: Convert to fraction form
    581.90/876.86 = 481.44/x
  3. Step 3: Cross multiply
    581.90x = 876.86 × 481.44
  4. Step 4: Simplify right side
    581.90x = 422,158.16
  5. Step 5: Solve for x
    x = 422,158.16/581.90
  6. Step 6: Final answer
    x = 725.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.