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Finding the Fourth Proportional to 581.78, 803.97 and 441.78

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Solution

The fourth proportional to 581.78, 803.97 and 441.78 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 803.97 = 441.78 : x
  2. Step 2: Convert to fraction form
    581.78/803.97 = 441.78/x
  3. Step 3: Cross multiply
    581.78x = 803.97 × 441.78
  4. Step 4: Simplify right side
    581.78x = 355,177.87
  5. Step 5: Solve for x
    x = 355,177.87/581.78
  6. Step 6: Final answer
    x = 610.50

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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.