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Finding the Fourth Proportional to 1,190.05, 1,643.36 and 894.80

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Solution

The fourth proportional to 1,190.05, 1,643.36 and 894.80 is: 1,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.05 : 1,643.36 = 894.80 : x
  2. Step 2: Convert to fraction form
    1,190.05/1,643.36 = 894.80/x
  3. Step 3: Cross multiply
    1,190.05x = 1,643.36 × 894.80
  4. Step 4: Simplify right side
    1,190.05x = 1,470,478.16
  5. Step 5: Solve for x
    x = 1,470,478.16/1,190.05
  6. Step 6: Final answer
    x = 1,235.65

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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.