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Finding the Fourth Proportional to 635.95, 877.67 and 488.31

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Solution

The fourth proportional to 635.95, 877.67 and 488.31 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.95 : 877.67 = 488.31 : x
  2. Step 2: Convert to fraction form
    635.95/877.67 = 488.31/x
  3. Step 3: Cross multiply
    635.95x = 877.67 × 488.31
  4. Step 4: Simplify right side
    635.95x = 428,575.04
  5. Step 5: Solve for x
    x = 428,575.04/635.95
  6. Step 6: Final answer
    x = 673.91

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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.