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Finding the Fourth Proportional to 571.70, 857.77 and 206.51

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Solution

The fourth proportional to 571.70, 857.77 and 206.51 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.70 : 857.77 = 206.51 : x
  2. Step 2: Convert to fraction form
    571.70/857.77 = 206.51/x
  3. Step 3: Cross multiply
    571.70x = 857.77 × 206.51
  4. Step 4: Simplify right side
    571.70x = 177,138.10
  5. Step 5: Solve for x
    x = 177,138.10/571.70
  6. Step 6: Final answer
    x = 309.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.