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Finding the Fourth Proportional to 871.33, 1,305.94 and 460.21

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Solution

The fourth proportional to 871.33, 1,305.94 and 460.21 is: 689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.33 : 1,305.94 = 460.21 : x
  2. Step 2: Convert to fraction form
    871.33/1,305.94 = 460.21/x
  3. Step 3: Cross multiply
    871.33x = 1,305.94 × 460.21
  4. Step 4: Simplify right side
    871.33x = 600,999.93
  5. Step 5: Solve for x
    x = 600,999.93/871.33
  6. Step 6: Final answer
    x = 689.75

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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.