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Finding the Fourth Proportional to 569.78, 855 and 204.88

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Solution

The fourth proportional to 569.78, 855 and 204.88 is: 307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 855 = 204.88 : x
  2. Step 2: Convert to fraction form
    569.78/855 = 204.88/x
  3. Step 3: Cross multiply
    569.78x = 855 × 204.88
  4. Step 4: Simplify right side
    569.78x = 175,172.40
  5. Step 5: Solve for x
    x = 175,172.40/569.78
  6. Step 6: Final answer
    x = 307.44

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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.