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Finding the Fourth Proportional to 574.32, 857.31 and 531.49

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Solution

The fourth proportional to 574.32, 857.31 and 531.49 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 857.31 = 531.49 : x
  2. Step 2: Convert to fraction form
    574.32/857.31 = 531.49/x
  3. Step 3: Cross multiply
    574.32x = 857.31 × 531.49
  4. Step 4: Simplify right side
    574.32x = 455,645.41
  5. Step 5: Solve for x
    x = 455,645.41/574.32
  6. Step 6: Final answer
    x = 793.37

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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.