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Finding the Fourth Proportional to 574.48, 857.31 and 512.97

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Solution

The fourth proportional to 574.48, 857.31 and 512.97 is: 765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.48 : 857.31 = 512.97 : x
  2. Step 2: Convert to fraction form
    574.48/857.31 = 512.97/x
  3. Step 3: Cross multiply
    574.48x = 857.31 × 512.97
  4. Step 4: Simplify right side
    574.48x = 439,774.31
  5. Step 5: Solve for x
    x = 439,774.31/574.48
  6. Step 6: Final answer
    x = 765.52

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Double scale
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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.