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Finding the Fourth Proportional to 623.56, 860.49 and 357.82

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Solution

The fourth proportional to 623.56, 860.49 and 357.82 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.56 : 860.49 = 357.82 : x
  2. Step 2: Convert to fraction form
    623.56/860.49 = 357.82/x
  3. Step 3: Cross multiply
    623.56x = 860.49 × 357.82
  4. Step 4: Simplify right side
    623.56x = 307,900.73
  5. Step 5: Solve for x
    x = 307,900.73/623.56
  6. Step 6: Final answer
    x = 493.78

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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.