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Finding the Fourth Proportional to 515.42, 770.63 and 439.28

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Solution

The fourth proportional to 515.42, 770.63 and 439.28 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 770.63 = 439.28 : x
  2. Step 2: Convert to fraction form
    515.42/770.63 = 439.28/x
  3. Step 3: Cross multiply
    515.42x = 770.63 × 439.28
  4. Step 4: Simplify right side
    515.42x = 338,516.30
  5. Step 5: Solve for x
    x = 338,516.30/515.42
  6. Step 6: Final answer
    x = 656.78

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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.