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Finding the Fourth Proportional to 509.62, 760.34 and 494.82

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Solution

The fourth proportional to 509.62, 760.34 and 494.82 is: 738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.62 : 760.34 = 494.82 : x
  2. Step 2: Convert to fraction form
    509.62/760.34 = 494.82/x
  3. Step 3: Cross multiply
    509.62x = 760.34 × 494.82
  4. Step 4: Simplify right side
    509.62x = 376,231.44
  5. Step 5: Solve for x
    x = 376,231.44/509.62
  6. Step 6: Final answer
    x = 738.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.