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Finding the Fourth Proportional to 952.42, 1,429.85 and 519.88

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Solution

The fourth proportional to 952.42, 1,429.85 and 519.88 is: 780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.42 : 1,429.85 = 519.88 : x
  2. Step 2: Convert to fraction form
    952.42/1,429.85 = 519.88/x
  3. Step 3: Cross multiply
    952.42x = 1,429.85 × 519.88
  4. Step 4: Simplify right side
    952.42x = 743,350.42
  5. Step 5: Solve for x
    x = 743,350.42/952.42
  6. Step 6: Final answer
    x = 780.49

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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.