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Finding the Fourth Proportional to 480.76, 717.88 and 421.75

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Solution

The fourth proportional to 480.76, 717.88 and 421.75 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.76 : 717.88 = 421.75 : x
  2. Step 2: Convert to fraction form
    480.76/717.88 = 421.75/x
  3. Step 3: Cross multiply
    480.76x = 717.88 × 421.75
  4. Step 4: Simplify right side
    480.76x = 302,765.89
  5. Step 5: Solve for x
    x = 302,765.89/480.76
  6. Step 6: Final answer
    x = 629.77

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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.