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Finding the Fourth Proportional to 1,286.18, 1,774.93 and 696.72

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Solution

The fourth proportional to 1,286.18, 1,774.93 and 696.72 is: 961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.18 : 1,774.93 = 696.72 : x
  2. Step 2: Convert to fraction form
    1,286.18/1,774.93 = 696.72/x
  3. Step 3: Cross multiply
    1,286.18x = 1,774.93 × 696.72
  4. Step 4: Simplify right side
    1,286.18x = 1,236,629.23
  5. Step 5: Solve for x
    x = 1,236,629.23/1,286.18
  6. Step 6: Final answer
    x = 961.48

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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.