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Finding the Fourth Proportional to 1,394.12, 2,091.12 and 572.12

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Solution

The fourth proportional to 1,394.12, 2,091.12 and 572.12 is: 858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.12 : 2,091.12 = 572.12 : x
  2. Step 2: Convert to fraction form
    1,394.12/2,091.12 = 572.12/x
  3. Step 3: Cross multiply
    1,394.12x = 2,091.12 × 572.12
  4. Step 4: Simplify right side
    1,394.12x = 1,196,371.57
  5. Step 5: Solve for x
    x = 1,196,371.57/1,394.12
  6. Step 6: Final answer
    x = 858.16

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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.