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Finding the Fourth Proportional to 642.07, 963.34 and 334.13

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Solution

The fourth proportional to 642.07, 963.34 and 334.13 is: 501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.07 : 963.34 = 334.13 : x
  2. Step 2: Convert to fraction form
    642.07/963.34 = 334.13/x
  3. Step 3: Cross multiply
    642.07x = 963.34 × 334.13
  4. Step 4: Simplify right side
    642.07x = 321,882.37
  5. Step 5: Solve for x
    x = 321,882.37/642.07
  6. Step 6: Final answer
    x = 501.32

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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.