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Finding the Fourth Proportional to 571.97, 788.40 and 385.40

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Solution

The fourth proportional to 571.97, 788.40 and 385.40 is: 531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 788.40 = 385.40 : x
  2. Step 2: Convert to fraction form
    571.97/788.40 = 385.40/x
  3. Step 3: Cross multiply
    571.97x = 788.40 × 385.40
  4. Step 4: Simplify right side
    571.97x = 303,851.33
  5. Step 5: Solve for x
    x = 303,851.33/571.97
  6. Step 6: Final answer
    x = 531.23

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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.