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Finding the Fourth Proportional to 569.69, 854.56 and 179.75

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Solution

The fourth proportional to 569.69, 854.56 and 179.75 is: 269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.69 : 854.56 = 179.75 : x
  2. Step 2: Convert to fraction form
    569.69/854.56 = 179.75/x
  3. Step 3: Cross multiply
    569.69x = 854.56 × 179.75
  4. Step 4: Simplify right side
    569.69x = 153,608.85
  5. Step 5: Solve for x
    x = 153,608.85/569.69
  6. Step 6: Final answer
    x = 269.64

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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.