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Finding the Fourth Proportional to 509.49, 768.76 and 490.52

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Solution

The fourth proportional to 509.49, 768.76 and 490.52 is: 740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 768.76 = 490.52 : x
  2. Step 2: Convert to fraction form
    509.49/768.76 = 490.52/x
  3. Step 3: Cross multiply
    509.49x = 768.76 × 490.52
  4. Step 4: Simplify right side
    509.49x = 377,092.85
  5. Step 5: Solve for x
    x = 377,092.85/509.49
  6. Step 6: Final answer
    x = 740.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.