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Finding the Fourth Proportional to 1,163.37, 1,606.07 and 897.23

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Solution

The fourth proportional to 1,163.37, 1,606.07 and 897.23 is: 1,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.37 : 1,606.07 = 897.23 : x
  2. Step 2: Convert to fraction form
    1,163.37/1,606.07 = 897.23/x
  3. Step 3: Cross multiply
    1,163.37x = 1,606.07 × 897.23
  4. Step 4: Simplify right side
    1,163.37x = 1,441,014.19
  5. Step 5: Solve for x
    x = 1,441,014.19/1,163.37
  6. Step 6: Final answer
    x = 1,238.66

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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.