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Finding the Fourth Proportional to 960.78, 1,440.74 and 548.48

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Solution

The fourth proportional to 960.78, 1,440.74 and 548.48 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,440.74 = 548.48 : x
  2. Step 2: Convert to fraction form
    960.78/1,440.74 = 548.48/x
  3. Step 3: Cross multiply
    960.78x = 1,440.74 × 548.48
  4. Step 4: Simplify right side
    960.78x = 790,217.08
  5. Step 5: Solve for x
    x = 790,217.08/960.78
  6. Step 6: Final answer
    x = 822.47

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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.