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Finding the Fourth Proportional to 624.56, 861.73 and 375.83

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Solution

The fourth proportional to 624.56, 861.73 and 375.83 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 861.73 = 375.83 : x
  2. Step 2: Convert to fraction form
    624.56/861.73 = 375.83/x
  3. Step 3: Cross multiply
    624.56x = 861.73 × 375.83
  4. Step 4: Simplify right side
    624.56x = 323,860.23
  5. Step 5: Solve for x
    x = 323,860.23/624.56
  6. Step 6: Final answer
    x = 518.54

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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.