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Finding the Fourth Proportional to 828.57, 1,240.43 and 580.92

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Solution

The fourth proportional to 828.57, 1,240.43 and 580.92 is: 869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.57 : 1,240.43 = 580.92 : x
  2. Step 2: Convert to fraction form
    828.57/1,240.43 = 580.92/x
  3. Step 3: Cross multiply
    828.57x = 1,240.43 × 580.92
  4. Step 4: Simplify right side
    828.57x = 720,581.49
  5. Step 5: Solve for x
    x = 720,581.49/828.57
  6. Step 6: Final answer
    x = 869.67

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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.