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Finding the Fourth Proportional to 1,224.15, 1,689.57 and 804.57

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Solution

The fourth proportional to 1,224.15, 1,689.57 and 804.57 is: 1,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.15 : 1,689.57 = 804.57 : x
  2. Step 2: Convert to fraction form
    1,224.15/1,689.57 = 804.57/x
  3. Step 3: Cross multiply
    1,224.15x = 1,689.57 × 804.57
  4. Step 4: Simplify right side
    1,224.15x = 1,359,377.33
  5. Step 5: Solve for x
    x = 1,359,377.33/1,224.15
  6. Step 6: Final answer
    x = 1,110.47

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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.