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Finding the Fourth Proportional to 646.51, 892.06 and 397.75

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Solution

The fourth proportional to 646.51, 892.06 and 397.75 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.51 : 892.06 = 397.75 : x
  2. Step 2: Convert to fraction form
    646.51/892.06 = 397.75/x
  3. Step 3: Cross multiply
    646.51x = 892.06 × 397.75
  4. Step 4: Simplify right side
    646.51x = 354,816.87
  5. Step 5: Solve for x
    x = 354,816.87/646.51
  6. Step 6: Final answer
    x = 548.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.