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Finding the Fourth Proportional to 646.29, 892.35 and 397.95

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Solution

The fourth proportional to 646.29, 892.35 and 397.95 is: 549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 892.35 = 397.95 : x
  2. Step 2: Convert to fraction form
    646.29/892.35 = 397.95/x
  3. Step 3: Cross multiply
    646.29x = 892.35 × 397.95
  4. Step 4: Simplify right side
    646.29x = 355,110.68
  5. Step 5: Solve for x
    x = 355,110.68/646.29
  6. Step 6: Final answer
    x = 549.46

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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.