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Finding the Fourth Proportional to 438.82, 606.38 and 417.47

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Solution

The fourth proportional to 438.82, 606.38 and 417.47 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 606.38 = 417.47 : x
  2. Step 2: Convert to fraction form
    438.82/606.38 = 417.47/x
  3. Step 3: Cross multiply
    438.82x = 606.38 × 417.47
  4. Step 4: Simplify right side
    438.82x = 253,143.22
  5. Step 5: Solve for x
    x = 253,143.22/438.82
  6. Step 6: Final answer
    x = 576.87

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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.