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Finding the Fourth Proportional to 512.24, 764.35 and 457.70

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Solution

The fourth proportional to 512.24, 764.35 and 457.70 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 764.35 = 457.70 : x
  2. Step 2: Convert to fraction form
    512.24/764.35 = 457.70/x
  3. Step 3: Cross multiply
    512.24x = 764.35 × 457.70
  4. Step 4: Simplify right side
    512.24x = 349,843.00
  5. Step 5: Solve for x
    x = 349,843.00/512.24
  6. Step 6: Final answer
    x = 682.97

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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.