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Finding the Fourth Proportional to 806.20, 1,210.73 and 660.23

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Solution

The fourth proportional to 806.20, 1,210.73 and 660.23 is: 991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.20 : 1,210.73 = 660.23 : x
  2. Step 2: Convert to fraction form
    806.20/1,210.73 = 660.23/x
  3. Step 3: Cross multiply
    806.20x = 1,210.73 × 660.23
  4. Step 4: Simplify right side
    806.20x = 799,354.21
  5. Step 5: Solve for x
    x = 799,354.21/806.20
  6. Step 6: Final answer
    x = 991.51

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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.