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Finding the Fourth Proportional to 635.01, 877.46 and 495.48

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Solution

The fourth proportional to 635.01, 877.46 and 495.48 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.01 : 877.46 = 495.48 : x
  2. Step 2: Convert to fraction form
    635.01/877.46 = 495.48/x
  3. Step 3: Cross multiply
    635.01x = 877.46 × 495.48
  4. Step 4: Simplify right side
    635.01x = 434,761.40
  5. Step 5: Solve for x
    x = 434,761.40/635.01
  6. Step 6: Final answer
    x = 684.65

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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.