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Finding the Fourth Proportional to 508.25, 764.20 and 406.80

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Solution

The fourth proportional to 508.25, 764.20 and 406.80 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 764.20 = 406.80 : x
  2. Step 2: Convert to fraction form
    508.25/764.20 = 406.80/x
  3. Step 3: Cross multiply
    508.25x = 764.20 × 406.80
  4. Step 4: Simplify right side
    508.25x = 310,870.71
  5. Step 5: Solve for x
    x = 310,870.71/508.25
  6. Step 6: Final answer
    x = 611.65

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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.