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Finding the Fourth Proportional to 1,099.37, 1,641.49 and 894.33

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Solution

The fourth proportional to 1,099.37, 1,641.49 and 894.33 is: 1,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.37 : 1,641.49 = 894.33 : x
  2. Step 2: Convert to fraction form
    1,099.37/1,641.49 = 894.33/x
  3. Step 3: Cross multiply
    1,099.37x = 1,641.49 × 894.33
  4. Step 4: Simplify right side
    1,099.37x = 1,468,031.52
  5. Step 5: Solve for x
    x = 1,468,031.52/1,099.37
  6. Step 6: Final answer
    x = 1,335.34

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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.