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Finding the Fourth Proportional to 960.30, 1,441.13 and 717.30

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Solution

The fourth proportional to 960.30, 1,441.13 and 717.30 is: 1,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,441.13 = 717.30 : x
  2. Step 2: Convert to fraction form
    960.30/1,441.13 = 717.30/x
  3. Step 3: Cross multiply
    960.30x = 1,441.13 × 717.30
  4. Step 4: Simplify right side
    960.30x = 1,033,718.96
  5. Step 5: Solve for x
    x = 1,033,718.96/960.30
  6. Step 6: Final answer
    x = 1,076.45

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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.