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Finding the Fourth Proportional to 625.82, 863.63 and 346.08

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Solution

The fourth proportional to 625.82, 863.63 and 346.08 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 863.63 = 346.08 : x
  2. Step 2: Convert to fraction form
    625.82/863.63 = 346.08/x
  3. Step 3: Cross multiply
    625.82x = 863.63 × 346.08
  4. Step 4: Simplify right side
    625.82x = 298,885.07
  5. Step 5: Solve for x
    x = 298,885.07/625.82
  6. Step 6: Final answer
    x = 477.59

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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.