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Finding the Fourth Proportional to 800.86, 1,105.41 and 486.22

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Solution

The fourth proportional to 800.86, 1,105.41 and 486.22 is: 671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.86 : 1,105.41 = 486.22 : x
  2. Step 2: Convert to fraction form
    800.86/1,105.41 = 486.22/x
  3. Step 3: Cross multiply
    800.86x = 1,105.41 × 486.22
  4. Step 4: Simplify right side
    800.86x = 537,472.45
  5. Step 5: Solve for x
    x = 537,472.45/800.86
  6. Step 6: Final answer
    x = 671.12

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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.