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Finding the Fourth Proportional to 950.38, 1,423.14 and 690.38

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Solution

The fourth proportional to 950.38, 1,423.14 and 690.38 is: 1,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.38 : 1,423.14 = 690.38 : x
  2. Step 2: Convert to fraction form
    950.38/1,423.14 = 690.38/x
  3. Step 3: Cross multiply
    950.38x = 1,423.14 × 690.38
  4. Step 4: Simplify right side
    950.38x = 982,507.39
  5. Step 5: Solve for x
    x = 982,507.39/950.38
  6. Step 6: Final answer
    x = 1,033.80

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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.