Home / 1,524.12-2,286.18-646.38

Finding the Fourth Proportional to 1,524.12, 2,286.18 and 646.38

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Solution

The fourth proportional to 1,524.12, 2,286.18 and 646.38 is: 969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.12 : 2,286.18 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,524.12/2,286.18 = 646.38/x
  3. Step 3: Cross multiply
    1,524.12x = 2,286.18 × 646.38
  4. Step 4: Simplify right side
    1,524.12x = 1,477,741.03
  5. Step 5: Solve for x
    x = 1,477,741.03/1,524.12
  6. Step 6: Final answer
    x = 969.57

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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.