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Finding the Fourth Proportional to 634.98, 876.36 and 414.25

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Solution

The fourth proportional to 634.98, 876.36 and 414.25 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.98 : 876.36 = 414.25 : x
  2. Step 2: Convert to fraction form
    634.98/876.36 = 414.25/x
  3. Step 3: Cross multiply
    634.98x = 876.36 × 414.25
  4. Step 4: Simplify right side
    634.98x = 363,032.13
  5. Step 5: Solve for x
    x = 363,032.13/634.98
  6. Step 6: Final answer
    x = 571.72

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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.