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Finding the Fourth Proportional to 570.09, 854.74 and 204.69

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Solution

The fourth proportional to 570.09, 854.74 and 204.69 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 854.74 = 204.69 : x
  2. Step 2: Convert to fraction form
    570.09/854.74 = 204.69/x
  3. Step 3: Cross multiply
    570.09x = 854.74 × 204.69
  4. Step 4: Simplify right side
    570.09x = 174,956.73
  5. Step 5: Solve for x
    x = 174,956.73/570.09
  6. Step 6: Final answer
    x = 306.89

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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.