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Finding the Fourth Proportional to 635.20, 877.76 and 487.68

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Solution

The fourth proportional to 635.20, 877.76 and 487.68 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 877.76 = 487.68 : x
  2. Step 2: Convert to fraction form
    635.20/877.76 = 487.68/x
  3. Step 3: Cross multiply
    635.20x = 877.76 × 487.68
  4. Step 4: Simplify right side
    635.20x = 428,066.00
  5. Step 5: Solve for x
    x = 428,066.00/635.20
  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.