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Finding the Fourth Proportional to 958.50, 1,438.05 and 309.25

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Solution

The fourth proportional to 958.50, 1,438.05 and 309.25 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.50 : 1,438.05 = 309.25 : x
  2. Step 2: Convert to fraction form
    958.50/1,438.05 = 309.25/x
  3. Step 3: Cross multiply
    958.50x = 1,438.05 × 309.25
  4. Step 4: Simplify right side
    958.50x = 444,719.92
  5. Step 5: Solve for x
    x = 444,719.92/958.50
  6. Step 6: Final answer
    x = 463.97

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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.