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Finding the Fourth Proportional to 635.84, 877.07 and 420.25

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Solution

The fourth proportional to 635.84, 877.07 and 420.25 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.84 : 877.07 = 420.25 : x
  2. Step 2: Convert to fraction form
    635.84/877.07 = 420.25/x
  3. Step 3: Cross multiply
    635.84x = 877.07 × 420.25
  4. Step 4: Simplify right side
    635.84x = 368,589.21
  5. Step 5: Solve for x
    x = 368,589.21/635.84
  6. Step 6: Final answer
    x = 579.69

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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.