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Finding the Fourth Proportional to 795.29, 1,096.17 and 637.64

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Solution

The fourth proportional to 795.29, 1,096.17 and 637.64 is: 878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.29 : 1,096.17 = 637.64 : x
  2. Step 2: Convert to fraction form
    795.29/1,096.17 = 637.64/x
  3. Step 3: Cross multiply
    795.29x = 1,096.17 × 637.64
  4. Step 4: Simplify right side
    795.29x = 698,958.08
  5. Step 5: Solve for x
    x = 698,958.08/795.29
  6. Step 6: Final answer
    x = 878.88

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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.