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Finding the Fourth Proportional to 950.87, 1,427.03 and 403.43

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Solution

The fourth proportional to 950.87, 1,427.03 and 403.43 is: 605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.87 : 1,427.03 = 403.43 : x
  2. Step 2: Convert to fraction form
    950.87/1,427.03 = 403.43/x
  3. Step 3: Cross multiply
    950.87x = 1,427.03 × 403.43
  4. Step 4: Simplify right side
    950.87x = 575,708.26
  5. Step 5: Solve for x
    x = 575,708.26/950.87
  6. Step 6: Final answer
    x = 605.45

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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.