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Finding the Fourth Proportional to 572.96, 791.16 and 386.84

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Solution

The fourth proportional to 572.96, 791.16 and 386.84 is: 534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 791.16 = 386.84 : x
  2. Step 2: Convert to fraction form
    572.96/791.16 = 386.84/x
  3. Step 3: Cross multiply
    572.96x = 791.16 × 386.84
  4. Step 4: Simplify right side
    572.96x = 306,052.33
  5. Step 5: Solve for x
    x = 306,052.33/572.96
  6. Step 6: Final answer
    x = 534.16

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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.