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Finding the Fourth Proportional to 453.23, 678.56 and 409.98

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Solution

The fourth proportional to 453.23, 678.56 and 409.98 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.23 : 678.56 = 409.98 : x
  2. Step 2: Convert to fraction form
    453.23/678.56 = 409.98/x
  3. Step 3: Cross multiply
    453.23x = 678.56 × 409.98
  4. Step 4: Simplify right side
    453.23x = 278,196.03
  5. Step 5: Solve for x
    x = 278,196.03/453.23
  6. Step 6: Final answer
    x = 613.81

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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.