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Finding the Fourth Proportional to 450.69, 675.02 and 405.59

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Solution

The fourth proportional to 450.69, 675.02 and 405.59 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 675.02 = 405.59 : x
  2. Step 2: Convert to fraction form
    450.69/675.02 = 405.59/x
  3. Step 3: Cross multiply
    450.69x = 675.02 × 405.59
  4. Step 4: Simplify right side
    450.69x = 273,775.96
  5. Step 5: Solve for x
    x = 273,775.96/450.69
  6. Step 6: Final answer
    x = 607.46

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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.