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Finding the Fourth Proportional to 423.09, 586.85 and 411.85

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Solution

The fourth proportional to 423.09, 586.85 and 411.85 is: 571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 586.85 = 411.85 : x
  2. Step 2: Convert to fraction form
    423.09/586.85 = 411.85/x
  3. Step 3: Cross multiply
    423.09x = 586.85 × 411.85
  4. Step 4: Simplify right side
    423.09x = 241,694.17
  5. Step 5: Solve for x
    x = 241,694.17/423.09
  6. Step 6: Final answer
    x = 571.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.