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Finding the Fourth Proportional to 496.31, 684.54 and 418.05

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Solution

The fourth proportional to 496.31, 684.54 and 418.05 is: 576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.31 : 684.54 = 418.05 : x
  2. Step 2: Convert to fraction form
    496.31/684.54 = 418.05/x
  3. Step 3: Cross multiply
    496.31x = 684.54 × 418.05
  4. Step 4: Simplify right side
    496.31x = 286,171.95
  5. Step 5: Solve for x
    x = 286,171.95/496.31
  6. Step 6: Final answer
    x = 576.60

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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.