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Finding the Fourth Proportional to 556.38, 829.64 and 518.68

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Solution

The fourth proportional to 556.38, 829.64 and 518.68 is: 773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.38 : 829.64 = 518.68 : x
  2. Step 2: Convert to fraction form
    556.38/829.64 = 518.68/x
  3. Step 3: Cross multiply
    556.38x = 829.64 × 518.68
  4. Step 4: Simplify right side
    556.38x = 430,320.01
  5. Step 5: Solve for x
    x = 430,320.01/556.38
  6. Step 6: Final answer
    x = 773.43

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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.