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Finding the Fourth Proportional to 417.36, 580.56 and 409.44

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Solution

The fourth proportional to 417.36, 580.56 and 409.44 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 580.56 = 409.44 : x
  2. Step 2: Convert to fraction form
    417.36/580.56 = 409.44/x
  3. Step 3: Cross multiply
    417.36x = 580.56 × 409.44
  4. Step 4: Simplify right side
    417.36x = 237,704.49
  5. Step 5: Solve for x
    x = 237,704.49/417.36
  6. Step 6: Final answer
    x = 569.54

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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.