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Finding the Fourth Proportional to 624.56, 861.57 and 493.34

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Solution

The fourth proportional to 624.56, 861.57 and 493.34 is: 680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 861.57 = 493.34 : x
  2. Step 2: Convert to fraction form
    624.56/861.57 = 493.34/x
  3. Step 3: Cross multiply
    624.56x = 861.57 × 493.34
  4. Step 4: Simplify right side
    624.56x = 425,042.64
  5. Step 5: Solve for x
    x = 425,042.64/624.56
  6. Step 6: Final answer
    x = 680.55

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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.