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Finding the Fourth Proportional to 558.94, 839.09 and 512.47

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Solution

The fourth proportional to 558.94, 839.09 and 512.47 is: 769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.94 : 839.09 = 512.47 : x
  2. Step 2: Convert to fraction form
    558.94/839.09 = 512.47/x
  3. Step 3: Cross multiply
    558.94x = 839.09 × 512.47
  4. Step 4: Simplify right side
    558.94x = 430,008.45
  5. Step 5: Solve for x
    x = 430,008.45/558.94
  6. Step 6: Final answer
    x = 769.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.