Home / 1,460.25-2,189.07-583.38

Finding the Fourth Proportional to 1,460.25, 2,189.07 and 583.38

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Solution

The fourth proportional to 1,460.25, 2,189.07 and 583.38 is: 874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.25 : 2,189.07 = 583.38 : x
  2. Step 2: Convert to fraction form
    1,460.25/2,189.07 = 583.38/x
  3. Step 3: Cross multiply
    1,460.25x = 2,189.07 × 583.38
  4. Step 4: Simplify right side
    1,460.25x = 1,277,059.66
  5. Step 5: Solve for x
    x = 1,277,059.66/1,460.25
  6. Step 6: Final answer
    x = 874.55

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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.