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Finding the Fourth Proportional to 453.72, 683.09 and 391.08

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Solution

The fourth proportional to 453.72, 683.09 and 391.08 is: 588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.72 : 683.09 = 391.08 : x
  2. Step 2: Convert to fraction form
    453.72/683.09 = 391.08/x
  3. Step 3: Cross multiply
    453.72x = 683.09 × 391.08
  4. Step 4: Simplify right side
    453.72x = 267,142.84
  5. Step 5: Solve for x
    x = 267,142.84/453.72
  6. Step 6: Final answer
    x = 588.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.