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Finding the Fourth Proportional to 646.34, 892.32 and 397.76

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Solution

The fourth proportional to 646.34, 892.32 and 397.76 is: 549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 892.32 = 397.76 : x
  2. Step 2: Convert to fraction form
    646.34/892.32 = 397.76/x
  3. Step 3: Cross multiply
    646.34x = 892.32 × 397.76
  4. Step 4: Simplify right side
    646.34x = 354,929.20
  5. Step 5: Solve for x
    x = 354,929.20/646.34
  6. Step 6: Final answer
    x = 549.14

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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.