Home / 1,460.16-2,190.23-364.54

Finding the Fourth Proportional to 1,460.16, 2,190.23 and 364.54

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Solution

The fourth proportional to 1,460.16, 2,190.23 and 364.54 is: 546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.16 : 2,190.23 = 364.54 : x
  2. Step 2: Convert to fraction form
    1,460.16/2,190.23 = 364.54/x
  3. Step 3: Cross multiply
    1,460.16x = 2,190.23 × 364.54
  4. Step 4: Simplify right side
    1,460.16x = 798,426.44
  5. Step 5: Solve for x
    x = 798,426.44/1,460.16
  6. Step 6: Final answer
    x = 546.81

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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.