Home / 1,514.33-2,270.13-540.21

Finding the Fourth Proportional to 1,514.33, 2,270.13 and 540.21

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Solution

The fourth proportional to 1,514.33, 2,270.13 and 540.21 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.33 : 2,270.13 = 540.21 : x
  2. Step 2: Convert to fraction form
    1,514.33/2,270.13 = 540.21/x
  3. Step 3: Cross multiply
    1,514.33x = 2,270.13 × 540.21
  4. Step 4: Simplify right side
    1,514.33x = 1,226,338.41
  5. Step 5: Solve for x
    x = 1,226,338.41/1,514.33
  6. Step 6: Final answer
    x = 809.82

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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.