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Finding the Fourth Proportional to 624.50, 860.82 and 577.88

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Solution

The fourth proportional to 624.50, 860.82 and 577.88 is: 796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.50 : 860.82 = 577.88 : x
  2. Step 2: Convert to fraction form
    624.50/860.82 = 577.88/x
  3. Step 3: Cross multiply
    624.50x = 860.82 × 577.88
  4. Step 4: Simplify right side
    624.50x = 497,450.66
  5. Step 5: Solve for x
    x = 497,450.66/624.50
  6. Step 6: Final answer
    x = 796.56

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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.