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Finding the Fourth Proportional to 581.70, 872.83 and 289.22

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Solution

The fourth proportional to 581.70, 872.83 and 289.22 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 872.83 = 289.22 : x
  2. Step 2: Convert to fraction form
    581.70/872.83 = 289.22/x
  3. Step 3: Cross multiply
    581.70x = 872.83 × 289.22
  4. Step 4: Simplify right side
    581.70x = 252,439.89
  5. Step 5: Solve for x
    x = 252,439.89/581.70
  6. Step 6: Final answer
    x = 433.97

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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.