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Finding the Fourth Proportional to 964.73, 1,440.07 and 828.65

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Solution

The fourth proportional to 964.73, 1,440.07 and 828.65 is: 1,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.73 : 1,440.07 = 828.65 : x
  2. Step 2: Convert to fraction form
    964.73/1,440.07 = 828.65/x
  3. Step 3: Cross multiply
    964.73x = 1,440.07 × 828.65
  4. Step 4: Simplify right side
    964.73x = 1,193,315.53
  5. Step 5: Solve for x
    x = 1,193,315.53/964.73
  6. Step 6: Final answer
    x = 1,236.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.