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Finding the Fourth Proportional to 571.15, 788.02 and 338.32

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Solution

The fourth proportional to 571.15, 788.02 and 338.32 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.15 : 788.02 = 338.32 : x
  2. Step 2: Convert to fraction form
    571.15/788.02 = 338.32/x
  3. Step 3: Cross multiply
    571.15x = 788.02 × 338.32
  4. Step 4: Simplify right side
    571.15x = 266,602.93
  5. Step 5: Solve for x
    x = 266,602.93/571.15
  6. Step 6: Final answer
    x = 466.78

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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.