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Finding the Fourth Proportional to 417.31, 625.06 and 286.69

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Solution

The fourth proportional to 417.31, 625.06 and 286.69 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.31 : 625.06 = 286.69 : x
  2. Step 2: Convert to fraction form
    417.31/625.06 = 286.69/x
  3. Step 3: Cross multiply
    417.31x = 625.06 × 286.69
  4. Step 4: Simplify right side
    417.31x = 179,198.45
  5. Step 5: Solve for x
    x = 179,198.45/417.31
  6. Step 6: Final answer
    x = 429.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.