Home / 1,514.21-2,270.75-589.66

Finding the Fourth Proportional to 1,514.21, 2,270.75 and 589.66

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Solution

The fourth proportional to 1,514.21, 2,270.75 and 589.66 is: 884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.21 : 2,270.75 = 589.66 : x
  2. Step 2: Convert to fraction form
    1,514.21/2,270.75 = 589.66/x
  3. Step 3: Cross multiply
    1,514.21x = 2,270.75 × 589.66
  4. Step 4: Simplify right side
    1,514.21x = 1,338,961.82
  5. Step 5: Solve for x
    x = 1,338,961.82/1,514.21
  6. Step 6: Final answer
    x = 884.26

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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.