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Finding the Fourth Proportional to 1,098.41, 1,646.68 and 481.64

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Solution

The fourth proportional to 1,098.41, 1,646.68 and 481.64 is: 722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.41 : 1,646.68 = 481.64 : x
  2. Step 2: Convert to fraction form
    1,098.41/1,646.68 = 481.64/x
  3. Step 3: Cross multiply
    1,098.41x = 1,646.68 × 481.64
  4. Step 4: Simplify right side
    1,098.41x = 793,109.87
  5. Step 5: Solve for x
    x = 793,109.87/1,098.41
  6. Step 6: Final answer
    x = 722.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.