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Finding the Fourth Proportional to 963.66, 1,438.52 and 834.54

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Solution

The fourth proportional to 963.66, 1,438.52 and 834.54 is: 1,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.66 : 1,438.52 = 834.54 : x
  2. Step 2: Convert to fraction form
    963.66/1,438.52 = 834.54/x
  3. Step 3: Cross multiply
    963.66x = 1,438.52 × 834.54
  4. Step 4: Simplify right side
    963.66x = 1,200,498.31
  5. Step 5: Solve for x
    x = 1,200,498.31/963.66
  6. Step 6: Final answer
    x = 1,245.77

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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.