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Finding the Fourth Proportional to 453.52, 678.84 and 344.56

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Solution

The fourth proportional to 453.52, 678.84 and 344.56 is: 515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 678.84 = 344.56 : x
  2. Step 2: Convert to fraction form
    453.52/678.84 = 344.56/x
  3. Step 3: Cross multiply
    453.52x = 678.84 × 344.56
  4. Step 4: Simplify right side
    453.52x = 233,901.11
  5. Step 5: Solve for x
    x = 233,901.11/453.52
  6. Step 6: Final answer
    x = 515.75

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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.