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Finding the Fourth Proportional to 417.44, 625.20 and 287

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Solution

The fourth proportional to 417.44, 625.20 and 287 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 625.20 = 287 : x
  2. Step 2: Convert to fraction form
    417.44/625.20 = 287/x
  3. Step 3: Cross multiply
    417.44x = 625.20 × 287
  4. Step 4: Simplify right side
    417.44x = 179,432.40
  5. Step 5: Solve for x
    x = 179,432.40/417.44
  6. Step 6: Final answer
    x = 429.84

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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.