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Finding the Fourth Proportional to 642.78, 963.33 and 334.56

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Solution

The fourth proportional to 642.78, 963.33 and 334.56 is: 501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.78 : 963.33 = 334.56 : x
  2. Step 2: Convert to fraction form
    642.78/963.33 = 334.56/x
  3. Step 3: Cross multiply
    642.78x = 963.33 × 334.56
  4. Step 4: Simplify right side
    642.78x = 322,291.68
  5. Step 5: Solve for x
    x = 322,291.68/642.78
  6. Step 6: Final answer
    x = 501.40

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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.