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Finding the Fourth Proportional to 635.77, 877.52 and 414.34

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Solution

The fourth proportional to 635.77, 877.52 and 414.34 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.77 : 877.52 = 414.34 : x
  2. Step 2: Convert to fraction form
    635.77/877.52 = 414.34/x
  3. Step 3: Cross multiply
    635.77x = 877.52 × 414.34
  4. Step 4: Simplify right side
    635.77x = 363,591.64
  5. Step 5: Solve for x
    x = 363,591.64/635.77
  6. Step 6: Final answer
    x = 571.89

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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.