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Finding the Fourth Proportional to 571.05, 782.26 and 569.43

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Solution

The fourth proportional to 571.05, 782.26 and 569.43 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 782.26 = 569.43 : x
  2. Step 2: Convert to fraction form
    571.05/782.26 = 569.43/x
  3. Step 3: Cross multiply
    571.05x = 782.26 × 569.43
  4. Step 4: Simplify right side
    571.05x = 445,440.89
  5. Step 5: Solve for x
    x = 445,440.89/571.05
  6. Step 6: Final answer
    x = 780.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.