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Finding the Fourth Proportional to 496.36, 684.19 and 391.29

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Solution

The fourth proportional to 496.36, 684.19 and 391.29 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.36 : 684.19 = 391.29 : x
  2. Step 2: Convert to fraction form
    496.36/684.19 = 391.29/x
  3. Step 3: Cross multiply
    496.36x = 684.19 × 391.29
  4. Step 4: Simplify right side
    496.36x = 267,714.63
  5. Step 5: Solve for x
    x = 267,714.63/496.36
  6. Step 6: Final answer
    x = 539.35

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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.