Home / 1,460.46-2,190.37-420.23

Finding the Fourth Proportional to 1,460.46, 2,190.37 and 420.23

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Solution

The fourth proportional to 1,460.46, 2,190.37 and 420.23 is: 630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.46 : 2,190.37 = 420.23 : x
  2. Step 2: Convert to fraction form
    1,460.46/2,190.37 = 420.23/x
  3. Step 3: Cross multiply
    1,460.46x = 2,190.37 × 420.23
  4. Step 4: Simplify right side
    1,460.46x = 920,457.08
  5. Step 5: Solve for x
    x = 920,457.08/1,460.46
  6. Step 6: Final answer
    x = 630.25

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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.