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Finding the Fourth Proportional to 569.76, 855.09 and 204.90

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Solution

The fourth proportional to 569.76, 855.09 and 204.90 is: 307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 855.09 = 204.90 : x
  2. Step 2: Convert to fraction form
    569.76/855.09 = 204.90/x
  3. Step 3: Cross multiply
    569.76x = 855.09 × 204.90
  4. Step 4: Simplify right side
    569.76x = 175,207.94
  5. Step 5: Solve for x
    x = 175,207.94/569.76
  6. Step 6: Final answer
    x = 307.51

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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.