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Finding the Fourth Proportional to 843.60, 1,162.16 and 806.69

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Solution

The fourth proportional to 843.60, 1,162.16 and 806.69 is: 1,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.60 : 1,162.16 = 806.69 : x
  2. Step 2: Convert to fraction form
    843.60/1,162.16 = 806.69/x
  3. Step 3: Cross multiply
    843.60x = 1,162.16 × 806.69
  4. Step 4: Simplify right side
    843.60x = 937,509.29
  5. Step 5: Solve for x
    x = 937,509.29/843.60
  6. Step 6: Final answer
    x = 1,111.32

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1.5x scale

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.