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Finding the Fourth Proportional to 832.89, 1,149.83 and 645.96

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Solution

The fourth proportional to 832.89, 1,149.83 and 645.96 is: 891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.89 : 1,149.83 = 645.96 : x
  2. Step 2: Convert to fraction form
    832.89/1,149.83 = 645.96/x
  3. Step 3: Cross multiply
    832.89x = 1,149.83 × 645.96
  4. Step 4: Simplify right side
    832.89x = 742,740.96
  5. Step 5: Solve for x
    x = 742,740.96/832.89
  6. Step 6: Final answer
    x = 891.76

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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.