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Finding the Fourth Proportional to 646.77, 892.41 and 381.15

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Solution

The fourth proportional to 646.77, 892.41 and 381.15 is: 525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 892.41 = 381.15 : x
  2. Step 2: Convert to fraction form
    646.77/892.41 = 381.15/x
  3. Step 3: Cross multiply
    646.77x = 892.41 × 381.15
  4. Step 4: Simplify right side
    646.77x = 340,142.07
  5. Step 5: Solve for x
    x = 340,142.07/646.77
  6. Step 6: Final answer
    x = 525.91

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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.