Home / 1,524.09-2,286.91-646.82

Finding the Fourth Proportional to 1,524.09, 2,286.91 and 646.82

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Solution

The fourth proportional to 1,524.09, 2,286.91 and 646.82 is: 970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.09 : 2,286.91 = 646.82 : x
  2. Step 2: Convert to fraction form
    1,524.09/2,286.91 = 646.82/x
  3. Step 3: Cross multiply
    1,524.09x = 2,286.91 × 646.82
  4. Step 4: Simplify right side
    1,524.09x = 1,479,217.08
  5. Step 5: Solve for x
    x = 1,479,217.08/1,524.09
  6. Step 6: Final answer
    x = 970.56

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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.