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Finding the Fourth Proportional to 572.64, 791.08 and 386.06

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Solution

The fourth proportional to 572.64, 791.08 and 386.06 is: 533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 791.08 = 386.06 : x
  2. Step 2: Convert to fraction form
    572.64/791.08 = 386.06/x
  3. Step 3: Cross multiply
    572.64x = 791.08 × 386.06
  4. Step 4: Simplify right side
    572.64x = 305,404.34
  5. Step 5: Solve for x
    x = 305,404.34/572.64
  6. Step 6: Final answer
    x = 533.33

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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.