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Finding the Fourth Proportional to 636.58, 877.80 and 461.80

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Solution

The fourth proportional to 636.58, 877.80 and 461.80 is: 636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.58 : 877.80 = 461.80 : x
  2. Step 2: Convert to fraction form
    636.58/877.80 = 461.80/x
  3. Step 3: Cross multiply
    636.58x = 877.80 × 461.80
  4. Step 4: Simplify right side
    636.58x = 405,368.04
  5. Step 5: Solve for x
    x = 405,368.04/636.58
  6. Step 6: Final answer
    x = 636.79

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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.