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Finding the Fourth Proportional to 512.08, 764.17 and 457.40

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Solution

The fourth proportional to 512.08, 764.17 and 457.40 is: 682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 764.17 = 457.40 : x
  2. Step 2: Convert to fraction form
    512.08/764.17 = 457.40/x
  3. Step 3: Cross multiply
    512.08x = 764.17 × 457.40
  4. Step 4: Simplify right side
    512.08x = 349,529.07
  5. Step 5: Solve for x
    x = 349,529.07/512.08
  6. Step 6: Final answer
    x = 682.57

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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.