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Finding the Fourth Proportional to 1,110.37, 1,669.34 and 895.45

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Solution

The fourth proportional to 1,110.37, 1,669.34 and 895.45 is: 1,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.37 : 1,669.34 = 895.45 : x
  2. Step 2: Convert to fraction form
    1,110.37/1,669.34 = 895.45/x
  3. Step 3: Cross multiply
    1,110.37x = 1,669.34 × 895.45
  4. Step 4: Simplify right side
    1,110.37x = 1,494,806.03
  5. Step 5: Solve for x
    x = 1,494,806.03/1,110.37
  6. Step 6: Final answer
    x = 1,346.22

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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.