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Finding the Fourth Proportional to 480.43, 717.58 and 415.63

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Solution

The fourth proportional to 480.43, 717.58 and 415.63 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.43 : 717.58 = 415.63 : x
  2. Step 2: Convert to fraction form
    480.43/717.58 = 415.63/x
  3. Step 3: Cross multiply
    480.43x = 717.58 × 415.63
  4. Step 4: Simplify right side
    480.43x = 298,247.78
  5. Step 5: Solve for x
    x = 298,247.78/480.43
  6. Step 6: Final answer
    x = 620.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.