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Finding the Fourth Proportional to 497.05, 684.99 and 356.92

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Solution

The fourth proportional to 497.05, 684.99 and 356.92 is: 491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.05 : 684.99 = 356.92 : x
  2. Step 2: Convert to fraction form
    497.05/684.99 = 356.92/x
  3. Step 3: Cross multiply
    497.05x = 684.99 × 356.92
  4. Step 4: Simplify right side
    497.05x = 244,486.63
  5. Step 5: Solve for x
    x = 244,486.63/497.05
  6. Step 6: Final answer
    x = 491.88

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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.