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Finding the Fourth Proportional to 646.54, 892.36 and 394.54

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Solution

The fourth proportional to 646.54, 892.36 and 394.54 is: 544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.54 : 892.36 = 394.54 : x
  2. Step 2: Convert to fraction form
    646.54/892.36 = 394.54/x
  3. Step 3: Cross multiply
    646.54x = 892.36 × 394.54
  4. Step 4: Simplify right side
    646.54x = 352,071.71
  5. Step 5: Solve for x
    x = 352,071.71/646.54
  6. Step 6: Final answer
    x = 544.55

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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.