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Finding the Fourth Proportional to 645.56, 892.14 and 573.56

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Solution

The fourth proportional to 645.56, 892.14 and 573.56 is: 792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 892.14 = 573.56 : x
  2. Step 2: Convert to fraction form
    645.56/892.14 = 573.56/x
  3. Step 3: Cross multiply
    645.56x = 892.14 × 573.56
  4. Step 4: Simplify right side
    645.56x = 511,695.82
  5. Step 5: Solve for x
    x = 511,695.82/645.56
  6. Step 6: Final answer
    x = 792.64

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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.