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Finding the Fourth Proportional to 960.48, 1,438.74 and 776.88

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Solution

The fourth proportional to 960.48, 1,438.74 and 776.88 is: 1,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.48 : 1,438.74 = 776.88 : x
  2. Step 2: Convert to fraction form
    960.48/1,438.74 = 776.88/x
  3. Step 3: Cross multiply
    960.48x = 1,438.74 × 776.88
  4. Step 4: Simplify right side
    960.48x = 1,117,728.33
  5. Step 5: Solve for x
    x = 1,117,728.33/960.48
  6. Step 6: Final answer
    x = 1,163.72

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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.