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Finding the Fourth Proportional to 509.94, 762.75 and 345.78

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Solution

The fourth proportional to 509.94, 762.75 and 345.78 is: 517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 762.75 = 345.78 : x
  2. Step 2: Convert to fraction form
    509.94/762.75 = 345.78/x
  3. Step 3: Cross multiply
    509.94x = 762.75 × 345.78
  4. Step 4: Simplify right side
    509.94x = 263,743.70
  5. Step 5: Solve for x
    x = 263,743.70/509.94
  6. Step 6: Final answer
    x = 517.21

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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.