Home / 1,524.09-2,286.60-646.14

Finding the Fourth Proportional to 1,524.09, 2,286.60 and 646.14

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Solution

The fourth proportional to 1,524.09, 2,286.60 and 646.14 is: 969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.09 : 2,286.60 = 646.14 : x
  2. Step 2: Convert to fraction form
    1,524.09/2,286.60 = 646.14/x
  3. Step 3: Cross multiply
    1,524.09x = 2,286.60 × 646.14
  4. Step 4: Simplify right side
    1,524.09x = 1,477,463.72
  5. Step 5: Solve for x
    x = 1,477,463.72/1,524.09
  6. Step 6: Final answer
    x = 969.41

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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.