Home / 1,524.25-2,286.33-646.19

Finding the Fourth Proportional to 1,524.25, 2,286.33 and 646.19

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Solution

The fourth proportional to 1,524.25, 2,286.33 and 646.19 is: 969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.25 : 2,286.33 = 646.19 : x
  2. Step 2: Convert to fraction form
    1,524.25/2,286.33 = 646.19/x
  3. Step 3: Cross multiply
    1,524.25x = 2,286.33 × 646.19
  4. Step 4: Simplify right side
    1,524.25x = 1,477,398.30
  5. Step 5: Solve for x
    x = 1,477,398.30/1,524.25
  6. Step 6: Final answer
    x = 969.26

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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.