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Finding the Fourth Proportional to 635.52, 876.53 and 414.54

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Solution

The fourth proportional to 635.52, 876.53 and 414.54 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.52 : 876.53 = 414.54 : x
  2. Step 2: Convert to fraction form
    635.52/876.53 = 414.54/x
  3. Step 3: Cross multiply
    635.52x = 876.53 × 414.54
  4. Step 4: Simplify right side
    635.52x = 363,354.67
  5. Step 5: Solve for x
    x = 363,354.67/635.52
  6. Step 6: Final answer
    x = 571.74

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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.