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Finding the Fourth Proportional to 646.56, 892.74 and 398.22

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Solution

The fourth proportional to 646.56, 892.74 and 398.22 is: 549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 892.74 = 398.22 : x
  2. Step 2: Convert to fraction form
    646.56/892.74 = 398.22/x
  3. Step 3: Cross multiply
    646.56x = 892.74 × 398.22
  4. Step 4: Simplify right side
    646.56x = 355,506.92
  5. Step 5: Solve for x
    x = 355,506.92/646.56
  6. Step 6: Final answer
    x = 549.84

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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.