Home / 1,514.74-2,269.32-822.19

Finding the Fourth Proportional to 1,514.74, 2,269.32 and 822.19

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Solution

The fourth proportional to 1,514.74, 2,269.32 and 822.19 is: 1,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.74 : 2,269.32 = 822.19 : x
  2. Step 2: Convert to fraction form
    1,514.74/2,269.32 = 822.19/x
  3. Step 3: Cross multiply
    1,514.74x = 2,269.32 × 822.19
  4. Step 4: Simplify right side
    1,514.74x = 1,865,812.21
  5. Step 5: Solve for x
    x = 1,865,812.21/1,514.74
  6. Step 6: Final answer
    x = 1,231.77

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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.