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Finding the Fourth Proportional to 1,269.09, 1,751.33 and 701.94

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Solution

The fourth proportional to 1,269.09, 1,751.33 and 701.94 is: 968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.09 : 1,751.33 = 701.94 : x
  2. Step 2: Convert to fraction form
    1,269.09/1,751.33 = 701.94/x
  3. Step 3: Cross multiply
    1,269.09x = 1,751.33 × 701.94
  4. Step 4: Simplify right side
    1,269.09x = 1,229,325.07
  5. Step 5: Solve for x
    x = 1,229,325.07/1,269.09
  6. Step 6: Final answer
    x = 968.67

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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.