Home / 1,464.12-2,196.06-438.12

Finding the Fourth Proportional to 1,464.12, 2,196.06 and 438.12

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Solution

The fourth proportional to 1,464.12, 2,196.06 and 438.12 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.12 : 2,196.06 = 438.12 : x
  2. Step 2: Convert to fraction form
    1,464.12/2,196.06 = 438.12/x
  3. Step 3: Cross multiply
    1,464.12x = 2,196.06 × 438.12
  4. Step 4: Simplify right side
    1,464.12x = 962,137.81
  5. Step 5: Solve for x
    x = 962,137.81/1,464.12
  6. Step 6: Final answer
    x = 657.14

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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.