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Finding the Fourth Proportional to 645.95, 968.38 and 450.38

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Solution

The fourth proportional to 645.95, 968.38 and 450.38 is: 675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.95 : 968.38 = 450.38 : x
  2. Step 2: Convert to fraction form
    645.95/968.38 = 450.38/x
  3. Step 3: Cross multiply
    645.95x = 968.38 × 450.38
  4. Step 4: Simplify right side
    645.95x = 436,134.14
  5. Step 5: Solve for x
    x = 436,134.14/645.95
  6. Step 6: Final answer
    x = 675.18

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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.