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Finding the Fourth Proportional to 508.50, 764.10 and 505.80

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Solution

The fourth proportional to 508.50, 764.10 and 505.80 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 764.10 = 505.80 : x
  2. Step 2: Convert to fraction form
    508.50/764.10 = 505.80/x
  3. Step 3: Cross multiply
    508.50x = 764.10 × 505.80
  4. Step 4: Simplify right side
    508.50x = 386,481.78
  5. Step 5: Solve for x
    x = 386,481.78/508.50
  6. Step 6: Final answer
    x = 760.04

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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.