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Finding the Fourth Proportional to 798.63, 1,098.24 and 639.27

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Solution

The fourth proportional to 798.63, 1,098.24 and 639.27 is: 879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.63 : 1,098.24 = 639.27 : x
  2. Step 2: Convert to fraction form
    798.63/1,098.24 = 639.27/x
  3. Step 3: Cross multiply
    798.63x = 1,098.24 × 639.27
  4. Step 4: Simplify right side
    798.63x = 702,071.88
  5. Step 5: Solve for x
    x = 702,071.88/798.63
  6. Step 6: Final answer
    x = 879.10

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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.