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Finding the Fourth Proportional to 509.50, 765.60 and 506.80

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Solution

The fourth proportional to 509.50, 765.60 and 506.80 is: 761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 765.60 = 506.80 : x
  2. Step 2: Convert to fraction form
    509.50/765.60 = 506.80/x
  3. Step 3: Cross multiply
    509.50x = 765.60 × 506.80
  4. Step 4: Simplify right side
    509.50x = 388,006.08
  5. Step 5: Solve for x
    x = 388,006.08/509.50
  6. Step 6: Final answer
    x = 761.54

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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.