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Finding the Fourth Proportional to 571.26, 788.34 and 338.40

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Solution

The fourth proportional to 571.26, 788.34 and 338.40 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.26 : 788.34 = 338.40 : x
  2. Step 2: Convert to fraction form
    571.26/788.34 = 338.40/x
  3. Step 3: Cross multiply
    571.26x = 788.34 × 338.40
  4. Step 4: Simplify right side
    571.26x = 266,774.26
  5. Step 5: Solve for x
    x = 266,774.26/571.26
  6. Step 6: Final answer
    x = 466.99

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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.