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Finding the Fourth Proportional to 1,311.95, 1,969.07 and 696.11

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Solution

The fourth proportional to 1,311.95, 1,969.07 and 696.11 is: 1,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.95 : 1,969.07 = 696.11 : x
  2. Step 2: Convert to fraction form
    1,311.95/1,969.07 = 696.11/x
  3. Step 3: Cross multiply
    1,311.95x = 1,969.07 × 696.11
  4. Step 4: Simplify right side
    1,311.95x = 1,370,675.99
  5. Step 5: Solve for x
    x = 1,370,675.99/1,311.95
  6. Step 6: Final answer
    x = 1,044.77

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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.