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Finding the Fourth Proportional to 569.40, 854.17 and 204.09

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Solution

The fourth proportional to 569.40, 854.17 and 204.09 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.40 : 854.17 = 204.09 : x
  2. Step 2: Convert to fraction form
    569.40/854.17 = 204.09/x
  3. Step 3: Cross multiply
    569.40x = 854.17 × 204.09
  4. Step 4: Simplify right side
    569.40x = 174,327.05
  5. Step 5: Solve for x
    x = 174,327.05/569.40
  6. Step 6: Final answer
    x = 306.16

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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.