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Finding the Fourth Proportional to 569.52, 854.27 and 204.55

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Solution

The fourth proportional to 569.52, 854.27 and 204.55 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 854.27 = 204.55 : x
  2. Step 2: Convert to fraction form
    569.52/854.27 = 204.55/x
  3. Step 3: Cross multiply
    569.52x = 854.27 × 204.55
  4. Step 4: Simplify right side
    569.52x = 174,740.93
  5. Step 5: Solve for x
    x = 174,740.93/569.52
  6. Step 6: Final answer
    x = 306.82

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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.