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Finding the Fourth Proportional to 940.57, 1,409.90 and 453.35

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Solution

The fourth proportional to 940.57, 1,409.90 and 453.35 is: 679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.57 : 1,409.90 = 453.35 : x
  2. Step 2: Convert to fraction form
    940.57/1,409.90 = 453.35/x
  3. Step 3: Cross multiply
    940.57x = 1,409.90 × 453.35
  4. Step 4: Simplify right side
    940.57x = 639,178.17
  5. Step 5: Solve for x
    x = 639,178.17/940.57
  6. Step 6: Final answer
    x = 679.56

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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.