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Finding the Fourth Proportional to 648.09, 972.14 and 301.25

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Solution

The fourth proportional to 648.09, 972.14 and 301.25 is: 451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 972.14 = 301.25 : x
  2. Step 2: Convert to fraction form
    648.09/972.14 = 301.25/x
  3. Step 3: Cross multiply
    648.09x = 972.14 × 301.25
  4. Step 4: Simplify right side
    648.09x = 292,850.81
  5. Step 5: Solve for x
    x = 292,850.81/648.09
  6. Step 6: Final answer
    x = 451.87

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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.