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Finding the Fourth Proportional to 1,091.38, 1,633.28 and 894.10

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Solution

The fourth proportional to 1,091.38, 1,633.28 and 894.10 is: 1,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.38 : 1,633.28 = 894.10 : x
  2. Step 2: Convert to fraction form
    1,091.38/1,633.28 = 894.10/x
  3. Step 3: Cross multiply
    1,091.38x = 1,633.28 × 894.10
  4. Step 4: Simplify right side
    1,091.38x = 1,460,315.65
  5. Step 5: Solve for x
    x = 1,460,315.65/1,091.38
  6. Step 6: Final answer
    x = 1,338.05

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1.5x scale

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.