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Finding the Fourth Proportional to 571.55, 788.69 and 338.63

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Solution

The fourth proportional to 571.55, 788.69 and 338.63 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.55 : 788.69 = 338.63 : x
  2. Step 2: Convert to fraction form
    571.55/788.69 = 338.63/x
  3. Step 3: Cross multiply
    571.55x = 788.69 × 338.63
  4. Step 4: Simplify right side
    571.55x = 267,071.00
  5. Step 5: Solve for x
    x = 267,071.00/571.55
  6. Step 6: Final answer
    x = 467.28

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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.