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Finding the Fourth Proportional to 800.99, 1,105.29 and 591.28

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Solution

The fourth proportional to 800.99, 1,105.29 and 591.28 is: 815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.99 : 1,105.29 = 591.28 : x
  2. Step 2: Convert to fraction form
    800.99/1,105.29 = 591.28/x
  3. Step 3: Cross multiply
    800.99x = 1,105.29 × 591.28
  4. Step 4: Simplify right side
    800.99x = 653,535.87
  5. Step 5: Solve for x
    x = 653,535.87/800.99
  6. Step 6: Final answer
    x = 815.91

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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.