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Finding the Fourth Proportional to 569.82, 854.69 and 223.12

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Solution

The fourth proportional to 569.82, 854.69 and 223.12 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.82 : 854.69 = 223.12 : x
  2. Step 2: Convert to fraction form
    569.82/854.69 = 223.12/x
  3. Step 3: Cross multiply
    569.82x = 854.69 × 223.12
  4. Step 4: Simplify right side
    569.82x = 190,698.43
  5. Step 5: Solve for x
    x = 190,698.43/569.82
  6. Step 6: Final answer
    x = 334.66

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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.