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Finding the Fourth Proportional to 642.14, 962.34 and 394.56

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Solution

The fourth proportional to 642.14, 962.34 and 394.56 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 962.34 = 394.56 : x
  2. Step 2: Convert to fraction form
    642.14/962.34 = 394.56/x
  3. Step 3: Cross multiply
    642.14x = 962.34 × 394.56
  4. Step 4: Simplify right side
    642.14x = 379,700.87
  5. Step 5: Solve for x
    x = 379,700.87/642.14
  6. Step 6: Final answer
    x = 591.31

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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.