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Finding the Fourth Proportional to 1,313.40, 1,968.04 and 825.42

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Solution

The fourth proportional to 1,313.40, 1,968.04 and 825.42 is: 1,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.40 : 1,968.04 = 825.42 : x
  2. Step 2: Convert to fraction form
    1,313.40/1,968.04 = 825.42/x
  3. Step 3: Cross multiply
    1,313.40x = 1,968.04 × 825.42
  4. Step 4: Simplify right side
    1,313.40x = 1,624,459.99
  5. Step 5: Solve for x
    x = 1,624,459.99/1,313.40
  6. Step 6: Final answer
    x = 1,236.84

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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.