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Finding the Fourth Proportional to 642.24, 963.84 and 300.48

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Solution

The fourth proportional to 642.24, 963.84 and 300.48 is: 450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 963.84 = 300.48 : x
  2. Step 2: Convert to fraction form
    642.24/963.84 = 300.48/x
  3. Step 3: Cross multiply
    642.24x = 963.84 × 300.48
  4. Step 4: Simplify right side
    642.24x = 289,614.64
  5. Step 5: Solve for x
    x = 289,614.64/642.24
  6. Step 6: Final answer
    x = 450.94

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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.