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Finding the Fourth Proportional to 573.74, 856.27 and 518.38

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Solution

The fourth proportional to 573.74, 856.27 and 518.38 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.74 : 856.27 = 518.38 : x
  2. Step 2: Convert to fraction form
    573.74/856.27 = 518.38/x
  3. Step 3: Cross multiply
    573.74x = 856.27 × 518.38
  4. Step 4: Simplify right side
    573.74x = 443,871.75
  5. Step 5: Solve for x
    x = 443,871.75/573.74
  6. Step 6: Final answer
    x = 773.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.