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Finding the Fourth Proportional to 641.98, 883.67 and 609.18

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Solution

The fourth proportional to 641.98, 883.67 and 609.18 is: 838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 883.67 = 609.18 : x
  2. Step 2: Convert to fraction form
    641.98/883.67 = 609.18/x
  3. Step 3: Cross multiply
    641.98x = 883.67 × 609.18
  4. Step 4: Simplify right side
    641.98x = 538,314.09
  5. Step 5: Solve for x
    x = 538,314.09/641.98
  6. Step 6: Final answer
    x = 838.52

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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.