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Finding the Fourth Proportional to 960.75, 1,438.76 and 613.05

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Solution

The fourth proportional to 960.75, 1,438.76 and 613.05 is: 918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,438.76 = 613.05 : x
  2. Step 2: Convert to fraction form
    960.75/1,438.76 = 613.05/x
  3. Step 3: Cross multiply
    960.75x = 1,438.76 × 613.05
  4. Step 4: Simplify right side
    960.75x = 882,028.75
  5. Step 5: Solve for x
    x = 882,028.75/960.75
  6. Step 6: Final answer
    x = 918.06

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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.