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Finding the Fourth Proportional to 512.64, 764.64 and 451.08

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Solution

The fourth proportional to 512.64, 764.64 and 451.08 is: 672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 764.64 = 451.08 : x
  2. Step 2: Convert to fraction form
    512.64/764.64 = 451.08/x
  3. Step 3: Cross multiply
    512.64x = 764.64 × 451.08
  4. Step 4: Simplify right side
    512.64x = 344,913.81
  5. Step 5: Solve for x
    x = 344,913.81/512.64
  6. Step 6: Final answer
    x = 672.82

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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.