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Finding the Fourth Proportional to 490.04, 734.10 and 450.68

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Solution

The fourth proportional to 490.04, 734.10 and 450.68 is: 675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.04 : 734.10 = 450.68 : x
  2. Step 2: Convert to fraction form
    490.04/734.10 = 450.68/x
  3. Step 3: Cross multiply
    490.04x = 734.10 × 450.68
  4. Step 4: Simplify right side
    490.04x = 330,844.19
  5. Step 5: Solve for x
    x = 330,844.19/490.04
  6. Step 6: Final answer
    x = 675.14

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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.