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Finding the Fourth Proportional to 800.05, 1,104.57 and 505.75

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Solution

The fourth proportional to 800.05, 1,104.57 and 505.75 is: 698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.05 : 1,104.57 = 505.75 : x
  2. Step 2: Convert to fraction form
    800.05/1,104.57 = 505.75/x
  3. Step 3: Cross multiply
    800.05x = 1,104.57 × 505.75
  4. Step 4: Simplify right side
    800.05x = 558,636.28
  5. Step 5: Solve for x
    x = 558,636.28/800.05
  6. Step 6: Final answer
    x = 698.25

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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.