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Finding the Fourth Proportional to 571.28, 788.42 and 477.86

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Solution

The fourth proportional to 571.28, 788.42 and 477.86 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 788.42 = 477.86 : x
  2. Step 2: Convert to fraction form
    571.28/788.42 = 477.86/x
  3. Step 3: Cross multiply
    571.28x = 788.42 × 477.86
  4. Step 4: Simplify right side
    571.28x = 376,751.99
  5. Step 5: Solve for x
    x = 376,751.99/571.28
  6. Step 6: Final answer
    x = 659.49

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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.