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Finding the Fourth Proportional to 960.59, 1,440.81 and 257.75

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Solution

The fourth proportional to 960.59, 1,440.81 and 257.75 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.59 : 1,440.81 = 257.75 : x
  2. Step 2: Convert to fraction form
    960.59/1,440.81 = 257.75/x
  3. Step 3: Cross multiply
    960.59x = 1,440.81 × 257.75
  4. Step 4: Simplify right side
    960.59x = 371,361.57
  5. Step 5: Solve for x
    x = 371,361.57/960.59
  6. Step 6: Final answer
    x = 386.60

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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.