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Finding the Fourth Proportional to 635.17, 876.40 and 402.25

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Solution

The fourth proportional to 635.17, 876.40 and 402.25 is: 555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.17 : 876.40 = 402.25 : x
  2. Step 2: Convert to fraction form
    635.17/876.40 = 402.25/x
  3. Step 3: Cross multiply
    635.17x = 876.40 × 402.25
  4. Step 4: Simplify right side
    635.17x = 352,531.90
  5. Step 5: Solve for x
    x = 352,531.90/635.17
  6. Step 6: Final answer
    x = 555.02

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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.