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Finding the Fourth Proportional to 950.49, 1,425.87 and 540.14

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Solution

The fourth proportional to 950.49, 1,425.87 and 540.14 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.49 : 1,425.87 = 540.14 : x
  2. Step 2: Convert to fraction form
    950.49/1,425.87 = 540.14/x
  3. Step 3: Cross multiply
    950.49x = 1,425.87 × 540.14
  4. Step 4: Simplify right side
    950.49x = 770,162.29
  5. Step 5: Solve for x
    x = 770,162.29/950.49
  6. Step 6: Final answer
    x = 810.28

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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.