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Finding the Fourth Proportional to 512.47, 766.64 and 396.03

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Solution

The fourth proportional to 512.47, 766.64 and 396.03 is: 592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.47 : 766.64 = 396.03 : x
  2. Step 2: Convert to fraction form
    512.47/766.64 = 396.03/x
  3. Step 3: Cross multiply
    512.47x = 766.64 × 396.03
  4. Step 4: Simplify right side
    512.47x = 303,613.43
  5. Step 5: Solve for x
    x = 303,613.43/512.47
  6. Step 6: Final answer
    x = 592.45

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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.