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Finding the Fourth Proportional to 642.27, 962.84 and 257.79

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Solution

The fourth proportional to 642.27, 962.84 and 257.79 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.27 : 962.84 = 257.79 : x
  2. Step 2: Convert to fraction form
    642.27/962.84 = 257.79/x
  3. Step 3: Cross multiply
    642.27x = 962.84 × 257.79
  4. Step 4: Simplify right side
    642.27x = 248,209.23
  5. Step 5: Solve for x
    x = 248,209.23/642.27
  6. Step 6: Final answer
    x = 386.46

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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.