Home / 1,313.34-1,968.76-491.42

Finding the Fourth Proportional to 1,313.34, 1,968.76 and 491.42

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Solution

The fourth proportional to 1,313.34, 1,968.76 and 491.42 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.34 : 1,968.76 = 491.42 : x
  2. Step 2: Convert to fraction form
    1,313.34/1,968.76 = 491.42/x
  3. Step 3: Cross multiply
    1,313.34x = 1,968.76 × 491.42
  4. Step 4: Simplify right side
    1,313.34x = 967,485.97
  5. Step 5: Solve for x
    x = 967,485.97/1,313.34
  6. Step 6: Final answer
    x = 736.66

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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.