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Finding the Fourth Proportional to 558.05, 769.79 and 518.47

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Solution

The fourth proportional to 558.05, 769.79 and 518.47 is: 715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.05 : 769.79 = 518.47 : x
  2. Step 2: Convert to fraction form
    558.05/769.79 = 518.47/x
  3. Step 3: Cross multiply
    558.05x = 769.79 × 518.47
  4. Step 4: Simplify right side
    558.05x = 399,112.39
  5. Step 5: Solve for x
    x = 399,112.39/558.05
  6. Step 6: Final answer
    x = 715.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.