Home / 1,460.49-2,190.66-364.86

Finding the Fourth Proportional to 1,460.49, 2,190.66 and 364.86

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Solution

The fourth proportional to 1,460.49, 2,190.66 and 364.86 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.49 : 2,190.66 = 364.86 : x
  2. Step 2: Convert to fraction form
    1,460.49/2,190.66 = 364.86/x
  3. Step 3: Cross multiply
    1,460.49x = 2,190.66 × 364.86
  4. Step 4: Simplify right side
    1,460.49x = 799,284.21
  5. Step 5: Solve for x
    x = 799,284.21/1,460.49
  6. Step 6: Final answer
    x = 547.27

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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.