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Finding the Fourth Proportional to 950.29, 1,424.42 and 540.23

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Solution

The fourth proportional to 950.29, 1,424.42 and 540.23 is: 809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.29 : 1,424.42 = 540.23 : x
  2. Step 2: Convert to fraction form
    950.29/1,424.42 = 540.23/x
  3. Step 3: Cross multiply
    950.29x = 1,424.42 × 540.23
  4. Step 4: Simplify right side
    950.29x = 769,514.42
  5. Step 5: Solve for x
    x = 769,514.42/950.29
  6. Step 6: Final answer
    x = 809.77

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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.