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Finding the Fourth Proportional to 645.52, 967.34 and 298.96

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Solution

The fourth proportional to 645.52, 967.34 and 298.96 is: 448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 967.34 = 298.96 : x
  2. Step 2: Convert to fraction form
    645.52/967.34 = 298.96/x
  3. Step 3: Cross multiply
    645.52x = 967.34 × 298.96
  4. Step 4: Simplify right side
    645.52x = 289,195.97
  5. Step 5: Solve for x
    x = 289,195.97/645.52
  6. Step 6: Final answer
    x = 448.00

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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.