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Finding the Fourth Proportional to 646.70, 892.53 and 398.18

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Solution

The fourth proportional to 646.70, 892.53 and 398.18 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.70 : 892.53 = 398.18 : x
  2. Step 2: Convert to fraction form
    646.70/892.53 = 398.18/x
  3. Step 3: Cross multiply
    646.70x = 892.53 × 398.18
  4. Step 4: Simplify right side
    646.70x = 355,387.60
  5. Step 5: Solve for x
    x = 355,387.60/646.70
  6. Step 6: Final answer
    x = 549.54

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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.