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Finding the Fourth Proportional to 1,224.73, 1,688.78 and 804.54

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Solution

The fourth proportional to 1,224.73, 1,688.78 and 804.54 is: 1,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.73 : 1,688.78 = 804.54 : x
  2. Step 2: Convert to fraction form
    1,224.73/1,688.78 = 804.54/x
  3. Step 3: Cross multiply
    1,224.73x = 1,688.78 × 804.54
  4. Step 4: Simplify right side
    1,224.73x = 1,358,691.06
  5. Step 5: Solve for x
    x = 1,358,691.06/1,224.73
  6. Step 6: Final answer
    x = 1,109.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.