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Finding the Fourth Proportional to 496.90, 684.78 and 372.25

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Solution

The fourth proportional to 496.90, 684.78 and 372.25 is: 513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.90 : 684.78 = 372.25 : x
  2. Step 2: Convert to fraction form
    496.90/684.78 = 372.25/x
  3. Step 3: Cross multiply
    496.90x = 684.78 × 372.25
  4. Step 4: Simplify right side
    496.90x = 254,905.93
  5. Step 5: Solve for x
    x = 254,905.93/496.90
  6. Step 6: Final answer
    x = 513.00

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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.