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Finding the Fourth Proportional to 1,324.46, 1,986.46 and 491.42

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Solution

The fourth proportional to 1,324.46, 1,986.46 and 491.42 is: 737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.46 : 1,986.46 = 491.42 : x
  2. Step 2: Convert to fraction form
    1,324.46/1,986.46 = 491.42/x
  3. Step 3: Cross multiply
    1,324.46x = 1,986.46 × 491.42
  4. Step 4: Simplify right side
    1,324.46x = 976,186.17
  5. Step 5: Solve for x
    x = 976,186.17/1,324.46
  6. Step 6: Final answer
    x = 737.04

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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.