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Finding the Fourth Proportional to 571.60, 788.82 and 309.62

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Solution

The fourth proportional to 571.60, 788.82 and 309.62 is: 427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.60 : 788.82 = 309.62 : x
  2. Step 2: Convert to fraction form
    571.60/788.82 = 309.62/x
  3. Step 3: Cross multiply
    571.60x = 788.82 × 309.62
  4. Step 4: Simplify right side
    571.60x = 244,235.26
  5. Step 5: Solve for x
    x = 244,235.26/571.60
  6. Step 6: Final answer
    x = 427.28

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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.