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Finding the Fourth Proportional to 570.49, 855.89 and 205.27

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Solution

The fourth proportional to 570.49, 855.89 and 205.27 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.49 : 855.89 = 205.27 : x
  2. Step 2: Convert to fraction form
    570.49/855.89 = 205.27/x
  3. Step 3: Cross multiply
    570.49x = 855.89 × 205.27
  4. Step 4: Simplify right side
    570.49x = 175,688.54
  5. Step 5: Solve for x
    x = 175,688.54/570.49
  6. Step 6: Final answer
    x = 307.96

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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.