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Finding the Fourth Proportional to 512.48, 764.99 and 474.41

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Solution

The fourth proportional to 512.48, 764.99 and 474.41 is: 708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 764.99 = 474.41 : x
  2. Step 2: Convert to fraction form
    512.48/764.99 = 474.41/x
  3. Step 3: Cross multiply
    512.48x = 764.99 × 474.41
  4. Step 4: Simplify right side
    512.48x = 362,918.59
  5. Step 5: Solve for x
    x = 362,918.59/512.48
  6. Step 6: Final answer
    x = 708.17

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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.