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Finding the Fourth Proportional to 575.25, 857.33 and 574.34

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Solution

The fourth proportional to 575.25, 857.33 and 574.34 is: 855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.25 : 857.33 = 574.34 : x
  2. Step 2: Convert to fraction form
    575.25/857.33 = 574.34/x
  3. Step 3: Cross multiply
    575.25x = 857.33 × 574.34
  4. Step 4: Simplify right side
    575.25x = 492,395.69
  5. Step 5: Solve for x
    x = 492,395.69/575.25
  6. Step 6: Final answer
    x = 855.96

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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.