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Finding the Fourth Proportional to 509.33, 765.02 and 494.98

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Solution

The fourth proportional to 509.33, 765.02 and 494.98 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.33 : 765.02 = 494.98 : x
  2. Step 2: Convert to fraction form
    509.33/765.02 = 494.98/x
  3. Step 3: Cross multiply
    509.33x = 765.02 × 494.98
  4. Step 4: Simplify right side
    509.33x = 378,669.60
  5. Step 5: Solve for x
    x = 378,669.60/509.33
  6. Step 6: Final answer
    x = 743.47

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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.