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Finding the Fourth Proportional to 630.25, 944.97 and 301.01

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Solution

The fourth proportional to 630.25, 944.97 and 301.01 is: 451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 944.97 = 301.01 : x
  2. Step 2: Convert to fraction form
    630.25/944.97 = 301.01/x
  3. Step 3: Cross multiply
    630.25x = 944.97 × 301.01
  4. Step 4: Simplify right side
    630.25x = 284,441.55
  5. Step 5: Solve for x
    x = 284,441.55/630.25
  6. Step 6: Final answer
    x = 451.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.