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Finding the Fourth Proportional to 960.84, 1,440.19 and 549.07

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Solution

The fourth proportional to 960.84, 1,440.19 and 549.07 is: 822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.84 : 1,440.19 = 549.07 : x
  2. Step 2: Convert to fraction form
    960.84/1,440.19 = 549.07/x
  3. Step 3: Cross multiply
    960.84x = 1,440.19 × 549.07
  4. Step 4: Simplify right side
    960.84x = 790,765.12
  5. Step 5: Solve for x
    x = 790,765.12/960.84
  6. Step 6: Final answer
    x = 822.99

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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.