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Finding the Fourth Proportional to 795.60, 1,099.04 and 638.03

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Solution

The fourth proportional to 795.60, 1,099.04 and 638.03 is: 881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,099.04 = 638.03 : x
  2. Step 2: Convert to fraction form
    795.60/1,099.04 = 638.03/x
  3. Step 3: Cross multiply
    795.60x = 1,099.04 × 638.03
  4. Step 4: Simplify right side
    795.60x = 701,219.25
  5. Step 5: Solve for x
    x = 701,219.25/795.60
  6. Step 6: Final answer
    x = 881.37

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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.