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Finding the Fourth Proportional to 805.56, 1,209.71 and 441.06

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Solution

The fourth proportional to 805.56, 1,209.71 and 441.06 is: 662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.56 : 1,209.71 = 441.06 : x
  2. Step 2: Convert to fraction form
    805.56/1,209.71 = 441.06/x
  3. Step 3: Cross multiply
    805.56x = 1,209.71 × 441.06
  4. Step 4: Simplify right side
    805.56x = 533,552.49
  5. Step 5: Solve for x
    x = 533,552.49/805.56
  6. Step 6: Final answer
    x = 662.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.