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Finding the Fourth Proportional to 1,109.23, 1,661.68 and 491.47

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Solution

The fourth proportional to 1,109.23, 1,661.68 and 491.47 is: 736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.23 : 1,661.68 = 491.47 : x
  2. Step 2: Convert to fraction form
    1,109.23/1,661.68 = 491.47/x
  3. Step 3: Cross multiply
    1,109.23x = 1,661.68 × 491.47
  4. Step 4: Simplify right side
    1,109.23x = 816,665.87
  5. Step 5: Solve for x
    x = 816,665.87/1,109.23
  6. Step 6: Final answer
    x = 736.25

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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.