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Finding the Fourth Proportional to 872.05, 1,305.90 and 505.66

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Solution

The fourth proportional to 872.05, 1,305.90 and 505.66 is: 757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.05 : 1,305.90 = 505.66 : x
  2. Step 2: Convert to fraction form
    872.05/1,305.90 = 505.66/x
  3. Step 3: Cross multiply
    872.05x = 1,305.90 × 505.66
  4. Step 4: Simplify right side
    872.05x = 660,341.39
  5. Step 5: Solve for x
    x = 660,341.39/872.05
  6. Step 6: Final answer
    x = 757.23

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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.