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Finding the Fourth Proportional to 1,098.22, 1,646.80 and 405.22

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Solution

The fourth proportional to 1,098.22, 1,646.80 and 405.22 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.22 : 1,646.80 = 405.22 : x
  2. Step 2: Convert to fraction form
    1,098.22/1,646.80 = 405.22/x
  3. Step 3: Cross multiply
    1,098.22x = 1,646.80 × 405.22
  4. Step 4: Simplify right side
    1,098.22x = 667,308.84
  5. Step 5: Solve for x
    x = 667,308.84/1,098.22
  6. Step 6: Final answer
    x = 607.63

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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.