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Finding the Fourth Proportional to 795.71, 1,099.13 and 663.36

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Solution

The fourth proportional to 795.71, 1,099.13 and 663.36 is: 916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.71 : 1,099.13 = 663.36 : x
  2. Step 2: Convert to fraction form
    795.71/1,099.13 = 663.36/x
  3. Step 3: Cross multiply
    795.71x = 1,099.13 × 663.36
  4. Step 4: Simplify right side
    795.71x = 729,120.54
  5. Step 5: Solve for x
    x = 729,120.54/795.71
  6. Step 6: Final answer
    x = 916.32

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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.