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Finding the Fourth Proportional to 423.16, 580.51 and 411.78

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Solution

The fourth proportional to 423.16, 580.51 and 411.78 is: 564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 580.51 = 411.78 : x
  2. Step 2: Convert to fraction form
    423.16/580.51 = 411.78/x
  3. Step 3: Cross multiply
    423.16x = 580.51 × 411.78
  4. Step 4: Simplify right side
    423.16x = 239,042.41
  5. Step 5: Solve for x
    x = 239,042.41/423.16
  6. Step 6: Final answer
    x = 564.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.