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Finding the Fourth Proportional to 645.56, 891.46 and 575.62

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Solution

The fourth proportional to 645.56, 891.46 and 575.62 is: 794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 891.46 = 575.62 : x
  2. Step 2: Convert to fraction form
    645.56/891.46 = 575.62/x
  3. Step 3: Cross multiply
    645.56x = 891.46 × 575.62
  4. Step 4: Simplify right side
    645.56x = 513,142.21
  5. Step 5: Solve for x
    x = 513,142.21/645.56
  6. Step 6: Final answer
    x = 794.88

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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.