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Finding the Fourth Proportional to 872.86, 1,309.30 and 461.92

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Solution

The fourth proportional to 872.86, 1,309.30 and 461.92 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.86 : 1,309.30 = 461.92 : x
  2. Step 2: Convert to fraction form
    872.86/1,309.30 = 461.92/x
  3. Step 3: Cross multiply
    872.86x = 1,309.30 × 461.92
  4. Step 4: Simplify right side
    872.86x = 604,791.86
  5. Step 5: Solve for x
    x = 604,791.86/872.86
  6. Step 6: Final answer
    x = 692.89

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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.