Home / 1,514.27-2,270.82-589.70

Finding the Fourth Proportional to 1,514.27, 2,270.82 and 589.70

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Solution

The fourth proportional to 1,514.27, 2,270.82 and 589.70 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.27 : 2,270.82 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,514.27/2,270.82 = 589.70/x
  3. Step 3: Cross multiply
    1,514.27x = 2,270.82 × 589.70
  4. Step 4: Simplify right side
    1,514.27x = 1,339,108.23
  5. Step 5: Solve for x
    x = 1,339,108.23/1,514.27
  6. Step 6: Final answer
    x = 884.32

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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.