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Finding the Fourth Proportional to 940.18, 1,409.46 and 453.57

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Solution

The fourth proportional to 940.18, 1,409.46 and 453.57 is: 679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.18 : 1,409.46 = 453.57 : x
  2. Step 2: Convert to fraction form
    940.18/1,409.46 = 453.57/x
  3. Step 3: Cross multiply
    940.18x = 1,409.46 × 453.57
  4. Step 4: Simplify right side
    940.18x = 639,287.07
  5. Step 5: Solve for x
    x = 639,287.07/940.18
  6. Step 6: Final answer
    x = 679.96

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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.