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Finding the Fourth Proportional to 571.47, 788.63 and 309.49

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Solution

The fourth proportional to 571.47, 788.63 and 309.49 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.47 : 788.63 = 309.49 : x
  2. Step 2: Convert to fraction form
    571.47/788.63 = 309.49/x
  3. Step 3: Cross multiply
    571.47x = 788.63 × 309.49
  4. Step 4: Simplify right side
    571.47x = 244,068.38
  5. Step 5: Solve for x
    x = 244,068.38/571.47
  6. Step 6: Final answer
    x = 427.09

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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.