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Finding the Fourth Proportional to 896.16, 1,335.36 and 799.23

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Solution

The fourth proportional to 896.16, 1,335.36 and 799.23 is: 1,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,335.36 = 799.23 : x
  2. Step 2: Convert to fraction form
    896.16/1,335.36 = 799.23/x
  3. Step 3: Cross multiply
    896.16x = 1,335.36 × 799.23
  4. Step 4: Simplify right side
    896.16x = 1,067,259.77
  5. Step 5: Solve for x
    x = 1,067,259.77/896.16
  6. Step 6: Final answer
    x = 1,190.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.