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Finding the Fourth Proportional to 574.78, 794 and 512.59

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Solution

The fourth proportional to 574.78, 794 and 512.59 is: 708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.78 : 794 = 512.59 : x
  2. Step 2: Convert to fraction form
    574.78/794 = 512.59/x
  3. Step 3: Cross multiply
    574.78x = 794 × 512.59
  4. Step 4: Simplify right side
    574.78x = 406,994.48
  5. Step 5: Solve for x
    x = 406,994.48/574.78
  6. Step 6: Final answer
    x = 708.09

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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.