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Finding the Fourth Proportional to 498.15, 685.26 and 408.51

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Solution

The fourth proportional to 498.15, 685.26 and 408.51 is: 561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 685.26 = 408.51 : x
  2. Step 2: Convert to fraction form
    498.15/685.26 = 408.51/x
  3. Step 3: Cross multiply
    498.15x = 685.26 × 408.51
  4. Step 4: Simplify right side
    498.15x = 279,935.56
  5. Step 5: Solve for x
    x = 279,935.56/498.15
  6. Step 6: Final answer
    x = 561.95

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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.