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Finding the Fourth Proportional to 557.56, 770.08 and 370.73

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Solution

The fourth proportional to 557.56, 770.08 and 370.73 is: 512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 770.08 = 370.73 : x
  2. Step 2: Convert to fraction form
    557.56/770.08 = 370.73/x
  3. Step 3: Cross multiply
    557.56x = 770.08 × 370.73
  4. Step 4: Simplify right side
    557.56x = 285,486.98
  5. Step 5: Solve for x
    x = 285,486.98/557.56
  6. Step 6: Final answer
    x = 512.03

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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.