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Finding the Fourth Proportional to 1,097.72, 1,646.87 and 328.22

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Solution

The fourth proportional to 1,097.72, 1,646.87 and 328.22 is: 492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.72 : 1,646.87 = 328.22 : x
  2. Step 2: Convert to fraction form
    1,097.72/1,646.87 = 328.22/x
  3. Step 3: Cross multiply
    1,097.72x = 1,646.87 × 328.22
  4. Step 4: Simplify right side
    1,097.72x = 540,531.97
  5. Step 5: Solve for x
    x = 540,531.97/1,097.72
  6. Step 6: Final answer
    x = 492.41

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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.