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Finding the Fourth Proportional to 453.70, 680.55 and 394.30

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Solution

The fourth proportional to 453.70, 680.55 and 394.30 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.70 : 680.55 = 394.30 : x
  2. Step 2: Convert to fraction form
    453.70/680.55 = 394.30/x
  3. Step 3: Cross multiply
    453.70x = 680.55 × 394.30
  4. Step 4: Simplify right side
    453.70x = 268,340.87
  5. Step 5: Solve for x
    x = 268,340.87/453.70
  6. Step 6: Final answer
    x = 591.45

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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.