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Finding the Fourth Proportional to 642.20, 962.09 and 512.34

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Solution

The fourth proportional to 642.20, 962.09 and 512.34 is: 767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.20 : 962.09 = 512.34 : x
  2. Step 2: Convert to fraction form
    642.20/962.09 = 512.34/x
  3. Step 3: Cross multiply
    642.20x = 962.09 × 512.34
  4. Step 4: Simplify right side
    642.20x = 492,914.63
  5. Step 5: Solve for x
    x = 492,914.63/642.20
  6. Step 6: Final answer
    x = 767.55

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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.