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Finding the Fourth Proportional to 641.37, 883.79 and 442.27

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Solution

The fourth proportional to 641.37, 883.79 and 442.27 is: 609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.37 : 883.79 = 442.27 : x
  2. Step 2: Convert to fraction form
    641.37/883.79 = 442.27/x
  3. Step 3: Cross multiply
    641.37x = 883.79 × 442.27
  4. Step 4: Simplify right side
    641.37x = 390,870.16
  5. Step 5: Solve for x
    x = 390,870.16/641.37
  6. Step 6: Final answer
    x = 609.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.