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Finding the Fourth Proportional to 1,097.23, 1,645.80 and 609.97

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Solution

The fourth proportional to 1,097.23, 1,645.80 and 609.97 is: 914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.23 : 1,645.80 = 609.97 : x
  2. Step 2: Convert to fraction form
    1,097.23/1,645.80 = 609.97/x
  3. Step 3: Cross multiply
    1,097.23x = 1,645.80 × 609.97
  4. Step 4: Simplify right side
    1,097.23x = 1,003,885.58
  5. Step 5: Solve for x
    x = 1,003,885.58/1,097.23
  6. Step 6: Final answer
    x = 914.93

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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.