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Finding the Fourth Proportional to 450.69, 678.30 and 405.96

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Solution

The fourth proportional to 450.69, 678.30 and 405.96 is: 610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 678.30 = 405.96 : x
  2. Step 2: Convert to fraction form
    450.69/678.30 = 405.96/x
  3. Step 3: Cross multiply
    450.69x = 678.30 × 405.96
  4. Step 4: Simplify right side
    450.69x = 275,362.67
  5. Step 5: Solve for x
    x = 275,362.67/450.69
  6. Step 6: Final answer
    x = 610.98

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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.