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Finding the Fourth Proportional to 1,418.04, 1,958.45 and 894.38

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Solution

The fourth proportional to 1,418.04, 1,958.45 and 894.38 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.04 : 1,958.45 = 894.38 : x
  2. Step 2: Convert to fraction form
    1,418.04/1,958.45 = 894.38/x
  3. Step 3: Cross multiply
    1,418.04x = 1,958.45 × 894.38
  4. Step 4: Simplify right side
    1,418.04x = 1,751,584.25
  5. Step 5: Solve for x
    x = 1,751,584.25/1,418.04
  6. Step 6: Final answer
    x = 1,235.21

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1.5x scale

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.