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Finding the Fourth Proportional to 646.81, 892.61 and 381.31

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Solution

The fourth proportional to 646.81, 892.61 and 381.31 is: 526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.81 : 892.61 = 381.31 : x
  2. Step 2: Convert to fraction form
    646.81/892.61 = 381.31/x
  3. Step 3: Cross multiply
    646.81x = 892.61 × 381.31
  4. Step 4: Simplify right side
    646.81x = 340,361.12
  5. Step 5: Solve for x
    x = 340,361.12/646.81
  6. Step 6: Final answer
    x = 526.21

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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.