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Finding the Fourth Proportional to 519.65, 783.96 and 494.03

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Solution

The fourth proportional to 519.65, 783.96 and 494.03 is: 745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.65 : 783.96 = 494.03 : x
  2. Step 2: Convert to fraction form
    519.65/783.96 = 494.03/x
  3. Step 3: Cross multiply
    519.65x = 783.96 × 494.03
  4. Step 4: Simplify right side
    519.65x = 387,293.37
  5. Step 5: Solve for x
    x = 387,293.37/519.65
  6. Step 6: Final answer
    x = 745.30

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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.