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Finding the Fourth Proportional to 512.36, 761.96 and 496.16

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Solution

The fourth proportional to 512.36, 761.96 and 496.16 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 761.96 = 496.16 : x
  2. Step 2: Convert to fraction form
    512.36/761.96 = 496.16/x
  3. Step 3: Cross multiply
    512.36x = 761.96 × 496.16
  4. Step 4: Simplify right side
    512.36x = 378,054.07
  5. Step 5: Solve for x
    x = 378,054.07/512.36
  6. Step 6: Final answer
    x = 737.87

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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.