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Finding the Fourth Proportional to 800.66, 1,105.05 and 506.09

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Solution

The fourth proportional to 800.66, 1,105.05 and 506.09 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.66 : 1,105.05 = 506.09 : x
  2. Step 2: Convert to fraction form
    800.66/1,105.05 = 506.09/x
  3. Step 3: Cross multiply
    800.66x = 1,105.05 × 506.09
  4. Step 4: Simplify right side
    800.66x = 559,249.23
  5. Step 5: Solve for x
    x = 559,249.23/800.66
  6. Step 6: Final answer
    x = 698.49

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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.