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Finding the Fourth Proportional to 509.78, 765.37 and 263.19

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Solution

The fourth proportional to 509.78, 765.37 and 263.19 is: 395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 765.37 = 263.19 : x
  2. Step 2: Convert to fraction form
    509.78/765.37 = 263.19/x
  3. Step 3: Cross multiply
    509.78x = 765.37 × 263.19
  4. Step 4: Simplify right side
    509.78x = 201,437.73
  5. Step 5: Solve for x
    x = 201,437.73/509.78
  6. Step 6: Final answer
    x = 395.15

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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.