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Finding the Fourth Proportional to 512.14, 772.37 and 495.70

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Solution

The fourth proportional to 512.14, 772.37 and 495.70 is: 747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 772.37 = 495.70 : x
  2. Step 2: Convert to fraction form
    512.14/772.37 = 495.70/x
  3. Step 3: Cross multiply
    512.14x = 772.37 × 495.70
  4. Step 4: Simplify right side
    512.14x = 382,863.81
  5. Step 5: Solve for x
    x = 382,863.81/512.14
  6. Step 6: Final answer
    x = 747.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.