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Finding the Fourth Proportional to 571.74, 857.09 and 206.45

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Solution

The fourth proportional to 571.74, 857.09 and 206.45 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 857.09 = 206.45 : x
  2. Step 2: Convert to fraction form
    571.74/857.09 = 206.45/x
  3. Step 3: Cross multiply
    571.74x = 857.09 × 206.45
  4. Step 4: Simplify right side
    571.74x = 176,940.91
  5. Step 5: Solve for x
    x = 176,940.91/571.74
  6. Step 6: Final answer
    x = 309.48

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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.