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Finding the Fourth Proportional to 964.46, 1,329.87 and 912.52

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Solution

The fourth proportional to 964.46, 1,329.87 and 912.52 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.46 : 1,329.87 = 912.52 : x
  2. Step 2: Convert to fraction form
    964.46/1,329.87 = 912.52/x
  3. Step 3: Cross multiply
    964.46x = 1,329.87 × 912.52
  4. Step 4: Simplify right side
    964.46x = 1,213,525.44
  5. Step 5: Solve for x
    x = 1,213,525.44/964.46
  6. Step 6: Final answer
    x = 1,258.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.