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Finding the Fourth Proportional to 569.83, 854.20 and 223.39

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Solution

The fourth proportional to 569.83, 854.20 and 223.39 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.83 : 854.20 = 223.39 : x
  2. Step 2: Convert to fraction form
    569.83/854.20 = 223.39/x
  3. Step 3: Cross multiply
    569.83x = 854.20 × 223.39
  4. Step 4: Simplify right side
    569.83x = 190,819.74
  5. Step 5: Solve for x
    x = 190,819.74/569.83
  6. Step 6: Final answer
    x = 334.87

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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.