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Finding the Fourth Proportional to 625.22, 862.78 and 345.46

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Solution

The fourth proportional to 625.22, 862.78 and 345.46 is: 476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.22 : 862.78 = 345.46 : x
  2. Step 2: Convert to fraction form
    625.22/862.78 = 345.46/x
  3. Step 3: Cross multiply
    625.22x = 862.78 × 345.46
  4. Step 4: Simplify right side
    625.22x = 298,055.98
  5. Step 5: Solve for x
    x = 298,055.98/625.22
  6. Step 6: Final answer
    x = 476.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.