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Finding the Fourth Proportional to 795.34, 1,096.44 and 638.44

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Solution

The fourth proportional to 795.34, 1,096.44 and 638.44 is: 880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.34 : 1,096.44 = 638.44 : x
  2. Step 2: Convert to fraction form
    795.34/1,096.44 = 638.44/x
  3. Step 3: Cross multiply
    795.34x = 1,096.44 × 638.44
  4. Step 4: Simplify right side
    795.34x = 700,011.15
  5. Step 5: Solve for x
    x = 700,011.15/795.34
  6. Step 6: Final answer
    x = 880.14

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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.