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Finding the Fourth Proportional to 635.47, 877.29 and 487.64

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Solution

The fourth proportional to 635.47, 877.29 and 487.64 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.47 : 877.29 = 487.64 : x
  2. Step 2: Convert to fraction form
    635.47/877.29 = 487.64/x
  3. Step 3: Cross multiply
    635.47x = 877.29 × 487.64
  4. Step 4: Simplify right side
    635.47x = 427,801.70
  5. Step 5: Solve for x
    x = 427,801.70/635.47
  6. Step 6: Final answer
    x = 673.21

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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.