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Finding the Fourth Proportional to 1,076.55, 1,616.09 and 896.11

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Solution

The fourth proportional to 1,076.55, 1,616.09 and 896.11 is: 1,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.55 : 1,616.09 = 896.11 : x
  2. Step 2: Convert to fraction form
    1,076.55/1,616.09 = 896.11/x
  3. Step 3: Cross multiply
    1,076.55x = 1,616.09 × 896.11
  4. Step 4: Simplify right side
    1,076.55x = 1,448,189.93
  5. Step 5: Solve for x
    x = 1,448,189.93/1,076.55
  6. Step 6: Final answer
    x = 1,345.21

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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.