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Finding the Fourth Proportional to 869.83, 1,305.21 and 321.94

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Solution

The fourth proportional to 869.83, 1,305.21 and 321.94 is: 483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.83 : 1,305.21 = 321.94 : x
  2. Step 2: Convert to fraction form
    869.83/1,305.21 = 321.94/x
  3. Step 3: Cross multiply
    869.83x = 1,305.21 × 321.94
  4. Step 4: Simplify right side
    869.83x = 420,192.78
  5. Step 5: Solve for x
    x = 420,192.78/869.83
  6. Step 6: Final answer
    x = 483.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.