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Finding the Fourth Proportional to 635.17, 876.72 and 402.43

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Solution

The fourth proportional to 635.17, 876.72 and 402.43 is: 555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.17 : 876.72 = 402.43 : x
  2. Step 2: Convert to fraction form
    635.17/876.72 = 402.43/x
  3. Step 3: Cross multiply
    635.17x = 876.72 × 402.43
  4. Step 4: Simplify right side
    635.17x = 352,818.43
  5. Step 5: Solve for x
    x = 352,818.43/635.17
  6. Step 6: Final answer
    x = 555.47

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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.