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Finding the Fourth Proportional to 571.21, 788.33 and 477.79

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Solution

The fourth proportional to 571.21, 788.33 and 477.79 is: 659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.21 : 788.33 = 477.79 : x
  2. Step 2: Convert to fraction form
    571.21/788.33 = 477.79/x
  3. Step 3: Cross multiply
    571.21x = 788.33 × 477.79
  4. Step 4: Simplify right side
    571.21x = 376,656.19
  5. Step 5: Solve for x
    x = 376,656.19/571.21
  6. Step 6: Final answer
    x = 659.40

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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.