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Finding the Fourth Proportional to 706.89, 975.11 and 441.21

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Solution

The fourth proportional to 706.89, 975.11 and 441.21 is: 608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.89 : 975.11 = 441.21 : x
  2. Step 2: Convert to fraction form
    706.89/975.11 = 441.21/x
  3. Step 3: Cross multiply
    706.89x = 975.11 × 441.21
  4. Step 4: Simplify right side
    706.89x = 430,226.08
  5. Step 5: Solve for x
    x = 430,226.08/706.89
  6. Step 6: Final answer
    x = 608.62

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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.