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Finding the Fourth Proportional to 806.70, 1,210.50 and 441.44

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Solution

The fourth proportional to 806.70, 1,210.50 and 441.44 is: 662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,210.50 = 441.44 : x
  2. Step 2: Convert to fraction form
    806.70/1,210.50 = 441.44/x
  3. Step 3: Cross multiply
    806.70x = 1,210.50 × 441.44
  4. Step 4: Simplify right side
    806.70x = 534,363.12
  5. Step 5: Solve for x
    x = 534,363.12/806.70
  6. Step 6: Final answer
    x = 662.41

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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.