Home / 1,460.16-2,190.32-364.53

Finding the Fourth Proportional to 1,460.16, 2,190.32 and 364.53

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Solution

The fourth proportional to 1,460.16, 2,190.32 and 364.53 is: 546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.16 : 2,190.32 = 364.53 : x
  2. Step 2: Convert to fraction form
    1,460.16/2,190.32 = 364.53/x
  3. Step 3: Cross multiply
    1,460.16x = 2,190.32 × 364.53
  4. Step 4: Simplify right side
    1,460.16x = 798,447.16
  5. Step 5: Solve for x
    x = 798,447.16/1,460.16
  6. Step 6: Final answer
    x = 546.82

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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.