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Finding the Fourth Proportional to 1,015.40, 1,512.42 and 968

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Solution

The fourth proportional to 1,015.40, 1,512.42 and 968 is: 1,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.40 : 1,512.42 = 968 : x
  2. Step 2: Convert to fraction form
    1,015.40/1,512.42 = 968/x
  3. Step 3: Cross multiply
    1,015.40x = 1,512.42 × 968
  4. Step 4: Simplify right side
    1,015.40x = 1,464,022.56
  5. Step 5: Solve for x
    x = 1,464,022.56/1,015.40
  6. Step 6: Final answer
    x = 1,441.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.