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Finding the Fourth Proportional to 1,097.83, 1,646.53 and 481.42

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Solution

The fourth proportional to 1,097.83, 1,646.53 and 481.42 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.83 : 1,646.53 = 481.42 : x
  2. Step 2: Convert to fraction form
    1,097.83/1,646.53 = 481.42/x
  3. Step 3: Cross multiply
    1,097.83x = 1,646.53 × 481.42
  4. Step 4: Simplify right side
    1,097.83x = 792,672.47
  5. Step 5: Solve for x
    x = 792,672.47/1,097.83
  6. Step 6: Final answer
    x = 722.04

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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.