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Finding the Fourth Proportional to 1,218.27, 1,824.48 and 696.69

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Solution

The fourth proportional to 1,218.27, 1,824.48 and 696.69 is: 1,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.27 : 1,824.48 = 696.69 : x
  2. Step 2: Convert to fraction form
    1,218.27/1,824.48 = 696.69/x
  3. Step 3: Cross multiply
    1,218.27x = 1,824.48 × 696.69
  4. Step 4: Simplify right side
    1,218.27x = 1,271,104.06
  5. Step 5: Solve for x
    x = 1,271,104.06/1,218.27
  6. Step 6: Final answer
    x = 1,043.36

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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.