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Finding the Fourth Proportional to 512.87, 765.61 and 476.42

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Solution

The fourth proportional to 512.87, 765.61 and 476.42 is: 711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 765.61 = 476.42 : x
  2. Step 2: Convert to fraction form
    512.87/765.61 = 476.42/x
  3. Step 3: Cross multiply
    512.87x = 765.61 × 476.42
  4. Step 4: Simplify right side
    512.87x = 364,751.92
  5. Step 5: Solve for x
    x = 364,751.92/512.87
  6. Step 6: Final answer
    x = 711.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.