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Finding the Fourth Proportional to 648.45, 973.17 and 323.64

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Solution

The fourth proportional to 648.45, 973.17 and 323.64 is: 485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.45 : 973.17 = 323.64 : x
  2. Step 2: Convert to fraction form
    648.45/973.17 = 323.64/x
  3. Step 3: Cross multiply
    648.45x = 973.17 × 323.64
  4. Step 4: Simplify right side
    648.45x = 314,956.74
  5. Step 5: Solve for x
    x = 314,956.74/648.45
  6. Step 6: Final answer
    x = 485.71

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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.