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Finding the Fourth Proportional to 417.72, 576.55 and 398.19

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Solution

The fourth proportional to 417.72, 576.55 and 398.19 is: 549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 576.55 = 398.19 : x
  2. Step 2: Convert to fraction form
    417.72/576.55 = 398.19/x
  3. Step 3: Cross multiply
    417.72x = 576.55 × 398.19
  4. Step 4: Simplify right side
    417.72x = 229,576.44
  5. Step 5: Solve for x
    x = 229,576.44/417.72
  6. Step 6: Final answer
    x = 549.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.