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Finding the Fourth Proportional to 497.49, 685.94 and 403.94

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Solution

The fourth proportional to 497.49, 685.94 and 403.94 is: 556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.49 : 685.94 = 403.94 : x
  2. Step 2: Convert to fraction form
    497.49/685.94 = 403.94/x
  3. Step 3: Cross multiply
    497.49x = 685.94 × 403.94
  4. Step 4: Simplify right side
    497.49x = 277,078.60
  5. Step 5: Solve for x
    x = 277,078.60/497.49
  6. Step 6: Final answer
    x = 556.95

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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.