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Finding the Fourth Proportional to 1,330.90, 1,993.37 and 964.84

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Solution

The fourth proportional to 1,330.90, 1,993.37 and 964.84 is: 1,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.90 : 1,993.37 = 964.84 : x
  2. Step 2: Convert to fraction form
    1,330.90/1,993.37 = 964.84/x
  3. Step 3: Cross multiply
    1,330.90x = 1,993.37 × 964.84
  4. Step 4: Simplify right side
    1,330.90x = 1,923,283.11
  5. Step 5: Solve for x
    x = 1,923,283.11/1,330.90
  6. Step 6: Final answer
    x = 1,445.10

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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.