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Finding the Fourth Proportional to 806.48, 1,208.37 and 776.12

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Solution

The fourth proportional to 806.48, 1,208.37 and 776.12 is: 1,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.48 : 1,208.37 = 776.12 : x
  2. Step 2: Convert to fraction form
    806.48/1,208.37 = 776.12/x
  3. Step 3: Cross multiply
    806.48x = 1,208.37 × 776.12
  4. Step 4: Simplify right side
    806.48x = 937,834.08
  5. Step 5: Solve for x
    x = 937,834.08/806.48
  6. Step 6: Final answer
    x = 1,162.88

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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.