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Finding the Fourth Proportional to 417.10, 628.12 and 392.80

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Solution

The fourth proportional to 417.10, 628.12 and 392.80 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.10 : 628.12 = 392.80 : x
  2. Step 2: Convert to fraction form
    417.10/628.12 = 392.80/x
  3. Step 3: Cross multiply
    417.10x = 628.12 × 392.80
  4. Step 4: Simplify right side
    417.10x = 246,725.54
  5. Step 5: Solve for x
    x = 246,725.54/417.10
  6. Step 6: Final answer
    x = 591.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.