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Finding the Fourth Proportional to 569.35, 854.44 and 439.67

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Solution

The fourth proportional to 569.35, 854.44 and 439.67 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.35 : 854.44 = 439.67 : x
  2. Step 2: Convert to fraction form
    569.35/854.44 = 439.67/x
  3. Step 3: Cross multiply
    569.35x = 854.44 × 439.67
  4. Step 4: Simplify right side
    569.35x = 375,672.67
  5. Step 5: Solve for x
    x = 375,672.67/569.35
  6. Step 6: Final answer
    x = 659.83

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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.