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Finding the Fourth Proportional to 625.82, 863.58 and 428.98

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Solution

The fourth proportional to 625.82, 863.58 and 428.98 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 863.58 = 428.98 : x
  2. Step 2: Convert to fraction form
    625.82/863.58 = 428.98/x
  3. Step 3: Cross multiply
    625.82x = 863.58 × 428.98
  4. Step 4: Simplify right side
    625.82x = 370,458.55
  5. Step 5: Solve for x
    x = 370,458.55/625.82
  6. Step 6: Final answer
    x = 591.96

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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.