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Finding the Fourth Proportional to 648.36, 972.95 and 443.43

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Solution

The fourth proportional to 648.36, 972.95 and 443.43 is: 665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.36 : 972.95 = 443.43 : x
  2. Step 2: Convert to fraction form
    648.36/972.95 = 443.43/x
  3. Step 3: Cross multiply
    648.36x = 972.95 × 443.43
  4. Step 4: Simplify right side
    648.36x = 431,433.00
  5. Step 5: Solve for x
    x = 431,433.00/648.36
  6. Step 6: Final answer
    x = 665.42

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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.