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Finding the Fourth Proportional to 960.49, 1,438.17 and 549.28

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Solution

The fourth proportional to 960.49, 1,438.17 and 549.28 is: 822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.49 : 1,438.17 = 549.28 : x
  2. Step 2: Convert to fraction form
    960.49/1,438.17 = 549.28/x
  3. Step 3: Cross multiply
    960.49x = 1,438.17 × 549.28
  4. Step 4: Simplify right side
    960.49x = 789,958.02
  5. Step 5: Solve for x
    x = 789,958.02/960.49
  6. Step 6: Final answer
    x = 822.45

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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.