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Finding the Fourth Proportional to 417.56, 572.94 and 394.34

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Solution

The fourth proportional to 417.56, 572.94 and 394.34 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 572.94 = 394.34 : x
  2. Step 2: Convert to fraction form
    417.56/572.94 = 394.34/x
  3. Step 3: Cross multiply
    417.56x = 572.94 × 394.34
  4. Step 4: Simplify right side
    417.56x = 225,930.29
  5. Step 5: Solve for x
    x = 225,930.29/417.56
  6. Step 6: Final answer
    x = 541.08

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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.