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Finding the Fourth Proportional to 642.62, 963.33 and 349.69

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Solution

The fourth proportional to 642.62, 963.33 and 349.69 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.62 : 963.33 = 349.69 : x
  2. Step 2: Convert to fraction form
    642.62/963.33 = 349.69/x
  3. Step 3: Cross multiply
    642.62x = 963.33 × 349.69
  4. Step 4: Simplify right side
    642.62x = 336,866.87
  5. Step 5: Solve for x
    x = 336,866.87/642.62
  6. Step 6: Final answer
    x = 524.21

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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.