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Finding the Fourth Proportional to 642.39, 962.65 and 349.65

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Solution

The fourth proportional to 642.39, 962.65 and 349.65 is: 523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.39 : 962.65 = 349.65 : x
  2. Step 2: Convert to fraction form
    642.39/962.65 = 349.65/x
  3. Step 3: Cross multiply
    642.39x = 962.65 × 349.65
  4. Step 4: Simplify right side
    642.39x = 336,584.01
  5. Step 5: Solve for x
    x = 336,584.01/642.39
  6. Step 6: Final answer
    x = 523.96

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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.